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BEGIN:VEVENT
SUMMARY:Allison Moore (Virginia Commonwealth University)
DTSTART:20200908T180000Z
DTEND:20200908T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/1/">Triple linking and Heegaard Floer homology.</a>\nby Alliso
 n Moore (Virginia Commonwealth University) as part of Brandeis Topology Se
 minar\n\n\nAbstract\nWe will describe several appearances of Milnor’s in
 variants in the link Floer complex. This will include a formula that expre
 sses the Milnor triple linking number in terms of the h-function. We will 
 also show that the triple linking number is involved in a structural prope
 rty of the d-invariants of surgery on certain algebraically split links. W
 e will apply the above properties toward new detection results for the Bor
 romean and Whitehead links. This is joint work with Gorsky\, Lidman and Li
 u.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Abdul Zalloum (Queen's University)
DTSTART:20200915T180000Z
DTEND:20200915T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/2/">Regularity of Morse geodesics and growth of stable subgrou
 ps</a>\nby Abdul Zalloum (Queen's University) as part of Brandeis Topology
  Seminar\n\n\nAbstract\nThe study of groups with "hyperbolic-like directio
 ns" has been a central theme in geometric group theory. Two notions are us
 ually used to quantify what is meant by "hyperbolic-like directions''\, th
 e notion of a contracting geodesic and that of a Morse geodesic. Since the
  property that every geodesic ray in metric space X is contracting or Mors
 e characterizes hyperbolic spaces\, being a contracting/Morse geodesic is 
 considered a hyperbolic-like property. In more general spaces\, the Morse 
 property is strictly weaker than the contracting property.  However\, if o
 ne adds an additional “local-to-global” condition on X\, then Morse ge
 odesics behave much like geodesics in hyperbolic spaces.  Generalizing wor
 k of Cannon\, I will first discuss a joint result with Eike proving that f
 or any finitely generated group\, the language of contracting geodesics wi
 th a fixed parameter is a regular language. I will then talk about recent 
 work with Cordes\, Russell and Spriano where we show that in local-to-glob
 al spaces\, Morse geodesics also form a regular language\, and we give a c
 haracterization of stable subgroups in terms of regular languages.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivan Levcovitz (Technion)
DTSTART:20200922T180000Z
DTEND:20200922T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/3/">Characterizing divergence in right-angled Coxeter groups</
 a>\nby Ivan Levcovitz (Technion) as part of Brandeis Topology Seminar\n\n\
 nAbstract\nA main goal in geometric group theory is to understand finitely
  generated groups up to quasi-isometry (a coarse geometric equivalence rel
 ation on Cayley graphs). Right-angled Coxeter groups (RACGs) are a well-st
 udied\, wide class of groups whose coarse geometry is not well understood.
  One of the few available quasi-isometry invariants known to distinguish n
 on-relatively hyperbolic RACGs is the divergence function\, which roughly 
 measures the maximum rate that a pair of geodesic rays in a Cayley graph c
 an diverge from one another. In this talk I will discuss a recent result t
 hat completely classifies divergence functions in RACGs\, gives a simple m
 ethod of computing them and links divergence to other known quasi-isometry
  invariants.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ahmad Issa (University of British Columbia)
DTSTART:20200929T180000Z
DTEND:20200929T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/4
DESCRIPTION:by Ahmad Issa (University of British Columbia) as part of Bran
 deis Topology Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elia Fioravante (Max Planck Institute\, Bonn)
DTSTART:20201006T180000Z
DTEND:20201006T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/5/">Cubulations determined by their length function</a>\nby El
 ia Fioravante (Max Planck Institute\, Bonn) as part of Brandeis Topology S
 eminar\n\n\nAbstract\nThe theory of group actions on CAT(0) cube complexes
  has exerted a strong influence on geometric group theory and low-dimensio
 nal topology in the last two decades. Indeed\, knowing that a group G acts
  properly and cocompactly on a CAT(0) cube complex reveals a lot of its al
 gebraic structure. However\, in general\, "cubulations" are non-canonical 
 and the group G can act on cube complexes in many different ways. It is th
 us natural to attempt to classify all such actions for a fixed group G\, i
 deally obtaining a good notion of "space of all cubulations of G". As a fi
 rst step\, we show that G-actions on CAT(0) cube complexes are often compl
 etely determined by their length function. This yields a simple topology o
 n this space and a natural compactification resembling Thurston's compacti
 fication of Teichmüller space. Based on joint works with J. Beyrer and M.
  Hagen.\n\nhttps://brandeis.zoom.us/j/99772088777\n\nPassword hint: negati
 vely curved (in algebra and geometry)\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Duncan (James Madison University)
DTSTART:20201013T180000Z
DTEND:20201013T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/6/">Bundle splittings on boundary-punctured disks</a>\nby Davi
 d Duncan (James Madison University) as part of Brandeis Topology Seminar\n
 \n\nAbstract\nOver a Riemann surface\, a bundle pair is a holomorphic bund
 le together with a totally real subbundle on the boundary. A result of Oh 
 states that\, over a disk\, a bundle pair splits as a sum of line bundle p
 airs. We discuss work-in-progress that seeks to extend Oh's result to boun
 dary-punctured disks. The strategy is to use the Yang--Mills gradient flow
  for singular connections to identify the relevant bundle isomorphism.\nht
 tps://brandeis.zoom.us/j/99772088777\n\nPassword hint: negatively curved (
 in algebra and geometry)\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonathan Simone (UMass Amherst)
DTSTART:20201020T180000Z
DTEND:20201020T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/7/">Using rational homology circles to construct rational homo
 logy balls</a>\nby Jonathan Simone (UMass Amherst) as part of Brandeis Top
 ology Seminar\n\n\nAbstract\nMotivated by Akbulut-Larson's construction of
  Brieskorn spheres bounding rational homology 4-balls\, we explore plumbed
  3-manifolds that bound rational homology circles and use them to construc
 t infinite families of rational homology 3-spheres that bound rational hom
 ology 4-balls. In particular\, we will classify torus bundles over the cir
 cle that bound rational homology circles and provide a simple method for c
 onstructing more general plumbed 3-manifolds that bound rational homology 
 circles. We then use these rational homology circles to show that\, for ex
 ample\, -1-surgery along any twisted positively-clasped Whitehead double o
 f any knot bounds a rational homology 4-ball.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amitesh Datta (Princeton University)
DTSTART:20201027T180000Z
DTEND:20201027T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/8/">Is the braid group $B_4$ a group of $3\\times 3$-matrices?
 </a>\nby Amitesh Datta (Princeton University) as part of Brandeis Topology
  Seminar\n\n\nAbstract\nThe Burau representation is a classical linear rep
 resentation of the braid group that can be used to define the Alexander po
 lynomial invariant for knots and links. \n\nThe question of whether or not
  the Burau representation of the braid group $B_4$ is faithful is an open 
 problem since the 1930s. The faithfulness of this representation is necess
 ary for the Jones polynomial of a knot to detect the unknot.\n\nIn this ta
 lk\, I will present my work on this problem\, which includes strong constr
 aints on the kernel of this representation. The key techniques include a n
 ew interpretation of the Burau matrix of a positive braid and a new decomp
 osition of positive braids into subproducts.\n\nI will discuss all of the 
 relevant background for the problem from scratch and illustrate my techniq
 ues through simple examples. I will also highlight the beautiful and elega
 nt connections to bowling balls and quantum intersection numbers of simple
  closed curves on punctured disks.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chris Scaduto (University of Miami)
DTSTART:20201103T190000Z
DTEND:20201103T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/9/">Equivariant singular instanton homology</a>\nby Chris Scad
 uto (University of Miami) as part of Brandeis Topology Seminar\n\n\nAbstra
 ct\nEvery knot is the boundary of a normally immersed disk in the 4-ball. 
 The 4D clasp number of a knot is the minimal number of double points over 
 all such immersed disks. In this talk I will explain how certain equivaria
 nt cohomological constructions in singular instanton Floer theory lead to 
 new results for 4D clasp numbers and unknotting numbers of knots. This is 
 joint work with Ali Daemi.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ceren Kose (UT Austin)
DTSTART:20201110T190000Z
DTEND:20201110T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/10
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/10/">Composite Knots with Symmetric Union Presentations</a>\nb
 y Ceren Kose (UT Austin) as part of Brandeis Topology Seminar\n\n\nAbstrac
 t\nAbstract: A symmetric union of\n a knot is an aesthetically appealing c
 onstruction which generalizes the connected sum of a knot and its mirror. 
 As the connected sum of a knot and its mirror is always ribbon\, hence smo
 othly slice\, symmetric unions too are ribbon. Like the slice-ribbon quest
 ion\,\n one may ask whether every ribbon knot is a symmetric union. This i
 s the case for a high number of prime ribbon knots with up to 12 crossings
  as well as some infinite families such as 2-bridge ribbon knots. However\
 , for some composite ribbon knots no such presentation\n has yet been foun
 d. Motivated by this\, I showed that these composite knots do not admit a 
 symmetric union presentation with a single twisting region. In my talk\, I
  will first introduce the problem and outline a few results. Then I will g
 ive my proof\, which\n is a short argument that relies on a Dehn filling d
 escription of double branched cover and a result of Gordon and Luecke on r
 educible fillings.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bülent Tosun (University of Alabama)
DTSTART:20201117T190000Z
DTEND:20201117T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/11
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/11/">Symplectic and complex geometric aspects of the 3-manifol
 d embedding problem in 4-space.</a>\nby Bülent Tosun (University of Alaba
 ma) as part of Brandeis Topology Seminar\n\n\nAbstract\nThe problem of emb
 edding one manifold into another has a long\, rich history\, and proved to
  be tremendously important for development of geometric topology since the
  1950s. In this talk I will focus on the 3-manifold embedding problem in 4
 -space. Given a closed\, orientable 3-manifold Y\, it is of great interest
  but often a difficult problem to determine whether Y may be smoothly embe
 dded in R^4. This is the case even for integer homology spheres\, and rest
 ricting to special classes such as Seifert manifolds\, the problem is open
  in general\, with positive answers for some such manifolds and negative a
 nswers in other cases. On the other hand\, under additional geometric cons
 iderations coming from symplectic geometry (such as hypersurfaces of conta
 ct type) and complex geometry (such as the boundaries of holomorphically a
 nd/or rationally convex Stein domains)\, the problems become tractable and
  in certain cases a uniform answer is possible. For example\, recent work 
 shows for Brieskorn homology spheres: no such 3-manifold admits an embeddi
 ng as a hypersurface of contact type in R^4\, which is to say as the bound
 ary of a region that is convex from the point of view of symplectic geomet
 ry. In this talk I will provide further context and motivations for this r
 esult\, and give some details of the proof. \n\nThis is joint work with To
 m Mark.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carolyn Abbott (Columbia University)
DTSTART:20201201T190000Z
DTEND:20201201T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/12
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/12/">Free products and random walks in acylindrically hyperbol
 ic groups</a>\nby Carolyn Abbott (Columbia University) as part of Brandeis
  Topology Seminar\n\n\nAbstract\nAbstract: The properties of a random walk
  on a group which acts on a hyperbolic metric space have been well-studied
  in recent years.  In this talk\, I will focus on random walks on acylindr
 ically hyperbolic groups\, a class of groups which includes mapping class 
 groups\, Out(F_n)\, and right-angled Artin and Coxeter groups\, among many
  others.  I will discuss how a random element of such a group interacts wi
 th fixed subgroups\, especially so-called hyperbolically embedded subgroup
 s.  In particular\, I will discuss when the subgroup generated by a random
  element and a fixed subgroup is a free product\, and I will also describe
  some of the geometric properties of that free product. This is joint work
  with Michael Hull.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yulan Qing (Fudan University)
DTSTART:20201208T190000Z
DTEND:20201208T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/13
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/13/">The Large Scale Geometry of Big Mapping Class Groups</a>\
 nby Yulan Qing (Fudan University) as part of Brandeis Topology Seminar\n\n
 \nAbstract\nAbstract: In this talk\, we introduce the framework of the coa
 rse geometry of non-locally compact groups in the setting of big mapping c
 lass groups\, as studied by Rosendal. We will discuss the characterization
  results of Mann-Rafi and Horbez-Qing-Rafi that illustrate big mapping gro
 ups' rich geometric and algebraic structures. We will outline the proofs i
 n these results and their implications. If time permits\, we will discuss 
 some open problems in this area.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chris Leininger (Rice University)
DTSTART:20210202T190000Z
DTEND:20210202T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/14
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/14/">Billiards\, symbolic coding\, and cone metrics</a>\nby Ch
 ris Leininger (Rice University) as part of Brandeis Topology Seminar\n\n\n
 Abstract\nGiven a polygon in the Euclidean or hyperbolic plane a billiard 
 trajectory in the polygon is the geodesic path of a particle in the polygo
 n bouncing off the sides so that the angle of reflection is equal to the a
 ngle incidence.  A billiard trajectory determines a symbolic coding via th
 e sides of the polygon encountered.  In this talk I will describe joint wo
 rk with Erlandsson and Sadanand showing the extent to which the set of all
  coding sequences\, the bounce spectrum\, determines the shape of a hyperb
 olic polygon.  We completely characterize those polygons which are billiar
 d rigid (the generic case)\, meaning that they are determined up to isomet
 ry by their bounce spectrum.  When rigidity fails for a polygon P\, we par
 ameterize the space of polygons having the same bounce spectrum at P.  The
 se results for billiards are a consequence of a rigidity/flexibility theor
 em for negatively curved hyperbolic cone metrics.  In the talk I will expl
 ain the theorem about hyperbolic billiards\, comparing/contrasting it with
  the Euclidean case (earlier work with Duchin\, Erlandsson\, and Sadanand)
 .  Then I will explain the relationship with hyperbolic cone metrics\, sta
 te our rigidity/flexibility theorem for such metrics\, and as time allows 
 describe some of the ideas involved in the proofs.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kasia Jankiewicz (University of Chicago)
DTSTART:20210406T180000Z
DTEND:20210406T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/15
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/15/">Splittings of Artin groups</a>\nby Kasia Jankiewicz (Univ
 ersity of Chicago) as part of Brandeis Topology Seminar\n\n\nAbstract\nWe 
 show that many 2-dimensional Artin groups split as graphs of finite rank f
 ree groups. In particular\, this is true for all triangle Artin groups A(m
 \,n\,p) where m\,n\,p>2\, or m=2 and n\,p>3. For many of those groups\, we
  use the splitting to prove that the Artin group is residually finite. In 
 particular\, all triangle Artin groups with even labels are residually fin
 ite.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Golla (Université de Nantes)
DTSTART:20210209T190000Z
DTEND:20210209T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/16
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/16/">3-manifolds that bound no definite 4-manifold</a>\nby Mar
 co Golla (Université de Nantes) as part of Brandeis Topology Seminar\n\n\
 nAbstract\nAll 3-manifolds bound 4-manifolds\, and many construction of 3-
 manifolds automatically come with a 4-manifold bounding it. Often times th
 ese 4-manifolds have definite intersection form. Using Heegaard Floer corr
 ection terms and an analysis of short characteristic covectors in bimodula
 r lattices\, we give an obstruction for a 3-manifold to bound a definite 4
 -manifold\, and produce some concrete examples. This is joint work with Ky
 le Larson.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hans Boden (McMaster University)
DTSTART:20210216T190000Z
DTEND:20210216T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/17
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/17/">The Gordon-Litherland pairing for knots in thickened surf
 aces</a>\nby Hans Boden (McMaster University) as part of Brandeis Topology
  Seminar\n\n\nAbstract\nWe introduce the Gordon-Litherland pairing for kno
 ts and links in thickened surfaces that bound unoriented spanning surfaces
 . Using the GL pairing\, we  define signature and determinant invariants. 
 We relate the invariants to those derived from the Tait graph and Goeritz 
 matrices. These invariants depend only on the $S^*$ equivalence class of t
 he spanning surface\, and the determinants give a simple criterion to chec
 k if the knot or link is minimal genus. The GL pairing is isometric to the
  relative intersection pairing on a 4-manifold obtained as the 2-fold cove
 r along the surface. These results are joint work with M. Chrisman and H. 
 Karimi. One can also use the GL pairing to give a topological characteriza
 tion of alternating links in thickened surfaces\, extending the results of
  J. Greene and J. Howie.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kevin Schreve (University of Chicago)
DTSTART:20210223T190000Z
DTEND:20210223T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/18
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/18/">Generalized Tits Conjecture for Artin groups</a>\nby Kevi
 n Schreve (University of Chicago) as part of Brandeis Topology Seminar\n\n
 \nAbstract\nIn 2001\, Crisp and Paris showed the squares of the standard g
 enerators of an Artin group generate an "obvious" right-angled Artin subgr
 oup. This resolved an earlier conjecture of Tits. I will introduce a gener
 alization of this conjecture\, where we ask that a larger set of elements 
 generates another "obvious" right-angled Artin subgroup.\nI will give evid
 ence that this is a good generalization\, explain what classes of Artin gr
 oups we can prove it for\, and give some applications. All of it is joint 
 work with Kasia Jankiewicz.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Cumplido (Universidad de Sevilla)
DTSTART:20210316T180000Z
DTEND:20210316T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/19
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/19/">Parabolic subgroups of large-type Artin groups</a>\nby Ma
 ria Cumplido (Universidad de Sevilla) as part of Brandeis Topology Seminar
 \n\n\nAbstract\nArtin groups are a natural generalisation of braid groups 
 from an algebraic point of view: in the same way that braids are obtained 
 from the presentation of the symmetric group\, other Coxeter groups give r
 ise to more general Artin groups. There are very few results proven for ev
 ery Artin group. To study them\, specialists have focused on some special 
 kind of subgroup\, called "parabolic subgroups".  These groups are used to
  build important simplicial complexes\, as the Deligne complex or the rece
 nt complex of irreducible parabolic subgroups. The question "Is the inters
 ection of parabolic subgroups a parabolic subgroup?" is a very basic quest
 ion whose answer is only known for spherical Artin groups and RAAGs. In th
 is talk\, we will see how we can answer this question in Artin groups of l
 arge type\, by using the geometric realisation of the poset of parabolic s
 ubgroups\, that we have named "Artin complex". In particular\, we will sho
 w that this complex in the large case has a property called sistolicity (a
  sort of weak CAT(0) property) that allows us to apply techniques from geo
 metric group theory. This is a joint work with Alexandre Martin and Nicola
 s Vaskou.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Delphine Moussard (Université de Aix-Marseille)
DTSTART:20210323T180000Z
DTEND:20210323T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/20
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/20/">A triple point invariant and the slice and ribbon genera<
 /a>\nby Delphine Moussard (Université de Aix-Marseille) as part of Brande
 is Topology Seminar\n\n\nAbstract\nThe T-genus of a knot is the minimal nu
 mber of borromean-type triple points on a normal singular disk with no cla
 sp bounded by the knot\; it is an upper bound for the slice genus. Kawauch
 i\, Shibuya and Suzuki characterized the slice knots by the vanishing of t
 heir T-genus. I will explain how this generalizes to provide a 3-dimension
 al characterization of the slice genus. Further\, I will show that the dif
 ference between the T-genus and the slice genus can be arbitrarily large. 
 Finally\, I will introduce the ribbon counterpart of the T-genus\, which i
 s an upper bound for the ribbon genus\, and we will see that the T-genus a
 nd the ribbon T-genus coincide for all knots if and only if all slice knot
 s are ribbon.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Piotr Przytycki (McGill University)
DTSTART:20210413T180000Z
DTEND:20210413T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/21
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/21/">Tail equivalence of unicorn paths</a>\nby Piotr Przytycki
  (McGill University) as part of Brandeis Topology Seminar\n\n\nAbstract\nL
 et S be an orientable surface of finite type. Using Pho-On's infinite unic
 orn paths\, we prove the hyperfiniteness of the orbit equivalence relation
  coming from the action of the mapping class group of S on the Gromov boun
 dary of the arc graph of S. This is joint work with Marcin Sabok.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:William Ballinger (Princeton University)
DTSTART:20210309T190000Z
DTEND:20210309T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/22
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/22/">Concordance invariants from Khovanov homology</a>\nby Wil
 liam Ballinger (Princeton University) as part of Brandeis Topology Seminar
 \n\n\nAbstract\nThe Lee differential and Rasmussen's E(-1) differential ac
 ting on\nKhovanov homology combine to give a pair of cancelling differenti
 als\,\nan algebraic structure that has been studied in the context of knot
 \nFloer homology. I will describe some concordance invariants that come\nf
 rom this structure\, with applications to nonorientable genus bounds\nand 
 linear independence in the concordance group.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ryan Budney (University of Victoria)
DTSTART:20210330T180000Z
DTEND:20210330T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/23
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/23/">Isotopy in dimension 4</a>\nby Ryan Budney (University of
  Victoria) as part of Brandeis Topology Seminar\n\n\nAbstract\nThis talk w
 ill describe a diffeomorphism of "the barbell manifold" and what it tells 
 us about smooth isotopy of 3-manifolds in some small 4-manifolds. Specific
 ally\, the "barbell" is the (4\,2)-handlebody of genus 2\, i.e. the bounda
 ry connect-sum of two copies of $S^2 \\times D^2$. We show that the mappin
 g class group of the barbell manifold\, i.e. $\\pi_0 Diff(Barbell)$\, wher
 e the diffeomorphisms fix the boundary pointwise\, is infinite cyclic -- a
 fter perhaps modding out by the mapping class group of $D^4$. We then cons
 ider embedding the barbell into various 4-manifolds\, and the question of 
 whether or not the natural extension of the barbell diffeomorphism is isot
 opically trivial in these 4-manifolds. From this we can conclude that the 
 mapping class groups of both $S^1 \\times D^3$ and $S^1 \\times S^3$ are n
 ot finitely generated. For $S^1 \\times D^3$ the idea of the proof is to s
 how these diffeomorphisms act non-trivially on the isotopy classes of redu
 cing 3-balls\, i.e. show $f(\\{1\\}\\times D^3)$ is not isotopic to $\\{1\
 \}\\times D^3$. To do this\, we imagine $D^3$ as a 2-parameter family of i
 ntervals\, thus $f(\\{1\\}\\times D^3)$ can be viewed as producing an elem
 ent of the 2nd homotopy group of the space of smooth embeddings of an inte
 rval in $S^1 \\times D^3$. The core of the proof involves developing an in
 variant that can detect the low-dimensional homotopy groups of embedding s
 paces. These invariants can be thought of as Vassiliev invariants.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No seminar
DTSTART:20210420T180000Z
DTEND:20210420T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/24
DESCRIPTION:by No seminar as part of Brandeis Topology Seminar\n\nAbstract
 : TBA\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hannah Schwartz (Princeton University)
DTSTART:20210427T180000Z
DTEND:20210427T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/25
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/25/">The failure of the 4D light bulb theorem with dual sphere
 s of non-zero square</a>\nby Hannah Schwartz (Princeton University) as par
 t of Brandeis Topology Seminar\n\n\nAbstract\nExamples of surfaces embedde
 d in a 4-manifold that are homotopic but not isotopic are neither rare nor
  surprising. It is then quite amazing that\, in settings such as the recen
 t 4D light bulb theorems of both Gabai and Schneiderman-Teichner\, the exi
 stence of an embedded sphere of square zero intersecting a surface transve
 rsally in a single point has the power to "upgrade" a homotopy of that sur
 face into a smooth isotopy. We will discuss the limitations of this phenon
 emon\, using contractible 4-manifolds called corks to produce homotopic sp
 heres in a 4-manifold with a common dual of non-zero square that are not s
 moothly isotopic.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dan Margalit (Georgia Tech)
DTSTART:20210504T180000Z
DTEND:20210504T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/26
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/26/">Homomorphisms of braid groups and totally symmetric sets<
 /a>\nby Dan Margalit (Georgia Tech) as part of Brandeis Topology Seminar\n
 \n\nAbstract\nIn joint work with Kevin Kordek and Lei Chen\, we completely
  classify homomorphisms from the braid group on n strands to the braid gro
 up on 2n strands.  One of the main new tools is the theory of totally symm
 etric sets\, which has found many other applications.  We will begin with 
 a survey of known classifications of homomorphisms of braid groups\, and t
 hen explain how to classify endomorphisms of the braid group using totally
  symmetric sets.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Sullivan (UMass Amherst)
DTSTART:20211005T180000Z
DTEND:20211005T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/27
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/27/">Displacing Legendrian submanifolds in contact geometry</a
 >\nby Michael Sullivan (UMass Amherst) as part of Brandeis Topology Semina
 r\n\n\nAbstract\nLagrangian and Legendrian submanifolds of symplectic and 
 contact manifolds are sometimes ``flexible" like smooth topology\, and som
 etimes ``rigid" like differential geometry. Pseudo-holomorphic curves\, al
 gebraically packaged into various Floer-theory or Gromov-Witten-theory inv
 ariants\, have played a (maybe even  ``the") main role in proving rigidity
  results. But if the invariants vanish\, does this mean the objects of stu
 dy are flexible? I will discuss\, using the barcodes of a persistence Floe
 r-type homology\, how to extract (sometimes optimal) quantitative rigidity
  results for Legendrian submanifolds\, even when the traditional Floer-the
 ory invariants vanish.  I plan to give the talk remotely\, but in real-tim
 e\, to keep the pace more accessible. This is joint work with Georgios Dim
 itroglou Rizell.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yajit Jain (Brown University)
DTSTART:20211012T180000Z
DTEND:20211012T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/28
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/28/">Topologically Trivial Families of Smooth h-Cobordisms</a>
 \nby Yajit Jain (Brown University) as part of Brandeis Topology Seminar\n\
 n\nAbstract\nIn this talk we will discuss topologically trivial families o
 f smooth h-cobordisms. Using work of Dwyer\, Weiss\, and Williams\, we can
  assign a K-theoretic invariant to these bundles\, the smooth structure ch
 aracteristic\, which is closely related to the higher Franz–Reidemeister
  torsion invariants studied by Igusa. After describing constructions of th
 ese bundles due to Goette and Igusa\, we will indicate how one can compute
  the smooth structure characteristic using Morse theory\, and outline a pr
 oof of their Rigidity Conjecture. Time permitting\, we will also briefly d
 iscuss a relationship between these invariants and symplectic topology.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Alvarez-Gavela (MIT)
DTSTART:20211019T180000Z
DTEND:20211019T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/29
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/29/">The nearby Lagrangian conjecture from the K-theoretic vie
 wpoint.</a>\nby Daniel Alvarez-Gavela (MIT) as part of Brandeis Topology S
 eminar\n\n\nAbstract\nI will discuss two K-theoretic aspects of the nearby
  Lagrangian conjecture. The first is joint work with M. Abouzaid\, S. Cour
 te and T. Kragh and uses a factoring of the Waldhausen derivative to obtai
 n new restrictions on the smooth structure of nearby Lagrangians. The seco
 nd is joint work in progress with K. Igusa and M. Sullivan and attempts to
  use a higher Whitehead torsion invariant to obtain new restrictions on th
 e stable isomorphism classes of tube bundles which may be used to generate
  nearby Lagrangians.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zihao Liu (Brandeis University)
DTSTART:20211026T180000Z
DTEND:20211026T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/30
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/30/">Scaled homology and topological entropy (in person)</a>\n
 by Zihao Liu (Brandeis University) as part of Brandeis Topology Seminar\n\
 n\nAbstract\nIn this talk\, I will introduce a scaled homology theory\, lc
 -homology\, for metric spaces such that every metric space can be visually
  regarded as “locally contractible” with this newly-built homology. In
  addition\, after giving a brief introduction of topological entropy\, I w
 ill discuss how to generalize one of the existing results of entropy conje
 cture\, relaxing the smooth manifold restrictions on the compact metric sp
 aces\, by using lc-homology groups. This is joint work with Bingzhe Hou an
 d Kiyoshi Igusa.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacob Russell (Rice University)
DTSTART:20211102T180000Z
DTEND:20211102T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/31
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/31/">Searching for geometric finiteness using surface group ex
 tensions</a>\nby Jacob Russell (Rice University) as part of Brandeis Topol
 ogy Seminar\n\n\nAbstract\nFarb and Mosher defined convex cocompact subgro
 ups of the mapping class group in analogy with convex cocompact Kleinian g
 roups. These subgroups have since seen immense study\, producing surprisin
 g applications to the geometry of surface group extension and surface bund
 les. In particular\, Hamenstadt plus Farb and Mosher proved that a subgrou
 p of the mapping class groups is convex cocompact if and only if the corre
 sponding surface group extension is Gromov hyperbolic.\n\nAmong Kleinian g
 roups\, convex cocompact groups are a special case of the geometrically fi
 nite groups. Despite the progress on convex cocompactness\, no robust noti
 on of geometric finiteness in the mapping class group has emerged. Durham\
 , Dowdall\, Leininger\, and Sisto recently proposed that geometric finiten
 ess in MCG(S) might be characterized by the corresponding surface group ex
 tension being hierarchically hyperbolic instead of Gromov hyperbolic. We p
 rovide evidence in favor of this hypothesis by proving that the surface gr
 oup extension of the stabilizer of a multicurve is hierarchically hyperbol
 ic.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anthony Conway (MIT)
DTSTART:20211109T190000Z
DTEND:20211109T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/32
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/32/">Stable diffeomorphism and homotopy equivalence (in person
 )</a>\nby Anthony Conway (MIT) as part of Brandeis Topology Seminar\n\n\nA
 bstract\nIn this talk\, we consider the difference between stable diffeomo
 rphism and homotopy equivalence. Here\, two 2n-manifolds are called stably
  diffeomorphic if they become diffeomorphic after connect summing with eno
 ugh copies of $S^n\\times S^n$.  After providing some motivation from surg
 ery theory\, we describe families of stably diffeomorphic manifolds that a
 re not pairwise homotopy equivalent. This is based on joint work with Crow
 ley\, Powell and Sixt.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lorenzo Ruffoni (Tufts University)
DTSTART:20211116T190000Z
DTEND:20211116T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/33
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/33/">In person</a>\nby Lorenzo Ruffoni (Tufts University) as p
 art of Brandeis Topology Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivan Levcovitz (Tufts University)
DTSTART:20211123T190000Z
DTEND:20211123T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/34
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/34/">Coxeter groups with connected Morse boundary</a>\nby Ivan
  Levcovitz (Tufts University) as part of Brandeis Topology Seminar\n\n\nAb
 stract\nThe Morse boundary is a quasi-isometry invariant that encodes the 
 possible "hyperbolic" directions of a group. The topology of the Morse bou
 ndary can be challenging to understand\, even for simple examples. In this
  talk\, I will focus on a basic topological property: connectivity and on 
 a well-studied class of CAT(0) groups: Coxeter groups. I will discuss a cr
 iteria that guarantees that the Morse boundary of a Coxeter group is conne
 cted. In particular\, when we restrict to the right-angled case\, we get a
  full characterization of right-angled Coxeter groups with connected Morse
  boundary. This is joint work with Matthew Cordes.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cary Malkiewich (Binghamton University)
DTSTART:20211207T190000Z
DTEND:20211207T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/35
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/35/">Fixed point theory and the higher characteristic polynomi
 al</a>\nby Cary Malkiewich (Binghamton University) as part of Brandeis Top
 ology Seminar\n\n\nAbstract\nI'll give a highly revisionist account of cla
 ssical Nielsen fixed-point theory\, putting it in the context of modern tr
 ace methods by arguing that its central invariant is most naturally a clas
 s in topological Hochschild homology (THH). I'll then describe how this ge
 neralizes to periodic points and topological restriction homology (TR)\, a
 nd how these invariants fit together to give a far-reaching generalization
  of the characteristic polynomial from linear algebra. Much of this is joi
 nt work with Ponto\, and separately with Campbell\, Lind\, Ponto\, and Zak
 harevich.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michah Sageev (Technion Institute)
DTSTART:20211130T190000Z
DTEND:20211130T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/36
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/36/">Right angled Coxeter groups acting on CAT(0) cube complex
 es</a>\nby Michah Sageev (Technion Institute) as part of Brandeis Topology
  Seminar\n\n\nAbstract\nWe will discuss a type of rigidity that one can ho
 pe for in the setting of proper\, cocompact actions of right angled Coxete
 r groups acting on CAT(0) cube complexes\, and some partial results in thi
 s direction. This is joint work with Ivan Levcovitz.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marissa Miller (UIUC)
DTSTART:20220215T190000Z
DTEND:20220215T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/37
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/37/">Hierarchical hyperbolicity and stability in handlebody gr
 oups</a>\nby Marissa Miller (UIUC) as part of Brandeis Topology Seminar\n\
 n\nAbstract\nIn this talk\, we explore the geometry of the handlebody grou
 p\, i.e. the mapping class group of a handlebody. These groups can be view
 ed as subgroups of surface mapping class groups and on the surface seem si
 milar\, but based on the current state of research\, the geometry of handl
 ebody groups appears to be very different than the geometry of surface map
 ping class groups. In this talk we will explore two different geometric no
 tions: hierarchical hyperbolicity (of which surface mapping class groups a
 re the prototype)\, and stable subgroups\, which have a nice characterizat
 ion in the surface mapping class groups in terms of the orbit map to the c
 urve graph. I will discuss how the genus two handlebody group is also hier
 archically hyperbolic and has an analogous stable subgroup characterizatio
 n\, and I will also discuss what goes wrong in the higher genus cases that
  prevents hierarchical hyperbolicity and the existence of an analogous sta
 ble subgroup characterization.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jingyin Huang (Ohio State University)
DTSTART:20220310T203000Z
DTEND:20220310T213000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/39
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/39/">The Helly geometry of some Garside and Artin groups</a>\n
 by Jingyin Huang (Ohio State University) as part of Brandeis Topology Semi
 nar\n\n\nAbstract\nGarside groups and Artin groups are two generalizations
  of braid groups. We show that weak Garside groups of finite type and FC-t
 ype Artin groups acts geometrically metric spaces which are non-positively
  in an appropriate sense\, i.e. they act geometrically on Helly graphs\, a
 s well as metric spaces with convex geodesic bicombings. We will also disc
 uss several algorithmic and \, geometric and topological consequences of t
 he existence of such an action. This is joint work with D. Osajda.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bernard Badzioch (University of Buffalo)
DTSTART:20220301T190000Z
DTEND:20220301T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/40
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/40/">Categorical algebra and mapping spaces</a>\nby Bernard Ba
 dzioch (University of Buffalo) as part of Brandeis Topology Seminar\n\n\nA
 bstract\nMany classical results in homotopy theory show that iterated loop
  spaces\, i.e. pointed mapping spaces \nfrom a sphere\, can be identified 
 with spaces equipped with a certain algebraic structure described by means
  of an operad\, a prop\, an algebraic theory etc. A natural questions is w
 hether analogous algebraic description can be used to characterize mapping
  spaces with the domain given by a space different than a sphere.\n \nThe 
 talk will describe some results in this area.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lev Tostopyat-Nelip (Michigan State University)
DTSTART:20220315T180000Z
DTEND:20220315T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/41
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/41/">Floer homology and quasipositive surfaces</a>\nby Lev Tos
 topyat-Nelip (Michigan State University) as part of Brandeis Topology Semi
 nar\n\n\nAbstract\nOzsvath and Szabo have shown that knot Floer homology d
 etects the genus of a knot - the largest Alexander grading of a non-trivia
 l homology class is equal to the genus.\nWe give a new contact geometric i
 nterpretation of this fact by realizing such a class via the transverse kn
 ot invariant introduced by Lisca\, Ozsvath\, Stipsicz and Szabo. Our appro
 ach relies on the "convex decomposition theory" of Honda\, Kazez and Matic
  - a contact geometric interpretation of Gabai's sutured hierarchies. \nWe
  use this new interpretation to study the "next-to-top" summand of knot Fl
 oer homology\, and to show that Heegaard Floer homology detects quasi-posi
 tive Seifert surfaces. Some of this talk represents joint work with Matthe
 w Hedden.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dave Auckly (Kansas State University)
DTSTART:20220322T180000Z
DTEND:20220322T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/42
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/42/">Branched covers in low dimensions.</a>\nby Dave Auckly (K
 ansas State University) as part of Brandeis Topology Seminar\n\n\nAbstract
 \nThis talk will begin with several basic examples of branched covers.\nIt
  will then present several results about the existence and non-existence o
 f branched covers in low dimensional settings.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lei Chen (University of Maryland)
DTSTART:20220329T180000Z
DTEND:20220329T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/43
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/43/">Actions of Homeo and Diffeo groups on manifolds</a>\nby L
 ei Chen (University of Maryland) as part of Brandeis Topology Seminar\n\n\
 nAbstract\nIn this talk\, I discuss the general question of how to obstruc
 t and construct group actions on manifolds. I will focus on large groups l
 ike Homeo(M) and Diff(M) about how they can act on another manifold N. The
  main result is an orbit classification theorem\, which fully classifies p
 ossible orbits. I will also talk about some low dimensional applications a
 nd open questions. This is a joint work with Kathryn Mann.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Cumplido (University of Seville)
DTSTART:20220405T180000Z
DTEND:20220405T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/44
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/44/">Conjugacy stability in Artin groups</a>\nby Maria Cumplid
 o (University of Seville) as part of Brandeis Topology Seminar\n\n\nAbstra
 ct\nArtin (or Artin-Tits) groups are generalizations of braid groups that 
 are defined using a finite set of generators $S$ and relations $abab\\cdot
 s=baba\\cdots$\, where both words of the equality have the same length. Al
 though this definition is quite simple\, there are very few results known 
 for Artin groups in general. Classic problems as the word problem or the c
 onjugacy problem are still open. In this talk\, we study a problem concern
 ing a family of subgroups of Artin groups: parabolic subgroups. These subg
 roups have proven to be useful when studying Artin groups (for example\, t
 hey are used to build interesting simplicial complexes)\, but again\, we d
 o not know much about them in general. \n\nOur problem will be the followi
 ng: Given two conjugate elements of a parabolic subgroup $P$ of an Artin g
 roup $A$\, are they conjugate via an element of $P$? This is called the co
 njugacy stability problem. In 2014\, González-Meneses proved that this is
  always true for braids\, that is\, geometric embeddings of braids do not 
 merge conjugacy classes. In an article with Calvez and Cisneros de la Cruz
 \, we gave a classification for spherical Artin groups and proved that the
  answer to the question is not always affirmative. In this talk\, we will 
 explain how to give an algorithm to solve this problem for every Artin gro
 up satisfying three properties that are conjectured to be always true.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aleksandra Kjuchukova (Notre Dame University)
DTSTART:20220412T180000Z
DTEND:20220412T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/45
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Brand
 eisTopology/45/">H-slice knots in $\\#^m\\mathbb{CP}^2$</a>\nby Aleksandra
  Kjuchukova (Notre Dame University) as part of Brandeis Topology Seminar\n
 \n\nAbstract\nLet $K\\subset S^3$ be a knot and let $X$ be a closed smooth
  four-manifold. Does $K$ bound a smooth/locally flat null-homologous disk 
 properly embedded in $X$ minus an open ball?  (If so\, we say $K$ is smoot
 hly/topologically H-slice in $X$.) The classification of H-slice knots in 
 a 4-manifold $X$ can help detect exotic smooth structures on $X$. I will d
 escribe new tools to compute the (smooth or topological) $\\mathbb{CP}^2$ 
 slicing number of a knot $K$\, which is the smallest $m$ such that $K$ is 
 (smoothly or topologically) H-slice in $\\#^m\\mathbb{CP}^2$. This talk is
  based on arXiv:2112.14596.\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No talk
DTSTART:20220308T190000Z
DTEND:20220308T203000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/46
DESCRIPTION:by No talk as part of Brandeis Topology Seminar\n\nAbstract: T
 BA\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:No talk
DTSTART:20220419T180000Z
DTEND:20220419T193000Z
DTSTAMP:20260404T100027Z
UID:BrandeisTopology/47
DESCRIPTION:by No talk as part of Brandeis Topology Seminar\n\nAbstract: T
 BA\n
LOCATION:https://stable.researchseminars.org/talk/BrandeisTopology/47/
END:VEVENT
END:VCALENDAR
