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BEGIN:VEVENT
SUMMARY:Rosa Winter (Leiden University)
DTSTART:20200414T150000Z
DTEND:20200414T153000Z
DTSTAMP:20260404T094547Z
UID:NASO/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 1/">Rational points on del Pezzo surfaces of degree 1</a>\nby Rosa Winter 
 (Leiden University) as part of Max Planck Institute nonlinear algebra semi
 nar online\n\n\nAbstract\nDel Pezzo surfaces are classified by their degre
 e\, an integer between 1 and 9. Famous examples are those of degree 3\, wh
 ich are cubic surfaces in 𝑃3. In this talk I will focus on del Pezzo su
 rfaces of degree 1. After briefly describing their geometry\, I will talk 
 about the set of Q-valued (rational) points on such a surface. I will show
  what is known about this set so far\, and which questions are still open.
 \n
LOCATION:https://stable.researchseminars.org/talk/NASO/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yulia Alexandr (University of California at Berkeley)
DTSTART:20200414T154000Z
DTEND:20200414T161000Z
DTSTAMP:20260404T094547Z
UID:NASO/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 2/">Logarithmic Voronoi cells</a>\nby Yulia Alexandr (University of Califo
 rnia at Berkeley) as part of Max Planck Institute nonlinear algebra semina
 r online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Balazs Szendroi (University of Oxford)
DTSTART:20200414T162000Z
DTEND:20200414T165000Z
DTSTAMP:20260404T094547Z
UID:NASO/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 3/">The punctual Hilbert scheme of 4 points in affine 3-space</a>\nby Bala
 zs Szendroi (University of Oxford) as part of Max Planck Institute nonline
 ar algebra seminar online\n\n\nAbstract\nThe $n$-th punctual Hilbert schem
 e $\\operatorname{Hilb}^n_0(\\mathbb{A}^d)$ of points of affine $d$-space 
 parametrises ideals of finite co-length $n$ of the ring of functions on $d
 $-dimensional affine space\, whose radical is the maximal ideal at the ori
 gin (equivalently\, subschemes of length $n$ with support at the origin). 
 A classical theorem of Briancon claims the irreducibility of this space fo
 r $d=2$ and arbitrary $n$. The case of a small number of points being stra
 ightforward\, the first nontrivial case is the case of $4$ points in $3$-s
 pace. We show\, answering a question of Sturmfels\, that over the complex 
 numbers $\\operatorname{Hilb}^4_0(\\mathbb{A}^3)$ is irreducible. We use a
  combination of arguments from computer algebra and representation theory.
 \n
LOCATION:https://stable.researchseminars.org/talk/NASO/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lisa Nicklasson (Stockholm University)
DTSTART:20200416T150000Z
DTEND:20200416T153000Z
DTSTAMP:20260404T094547Z
UID:NASO/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 4/">Subalgebras of a polynomial ring with minimal Hilbert function</a>\nby
  Lisa Nicklasson (Stockholm University) as part of Max Planck Institute no
 nlinear algebra seminar online\n\n\nAbstract\nIn a recent paper by Boij an
 d Conca the upper and lower bounds for the Hilbert function of subalgebras
  of a polynomial ring are discussed. In this talk we will study subalgebra
 s generated in degree two with minimal Hilbert function. These subalgebras
  are generated by strongly stable sets of monomials. To minimize the Hilbe
 rt function we want to firstly minimize the numbers of variables\, and sec
 ondly the multiplicity of the algebra. This boils down to a purely combina
 torial problem\, as the multiplicity can be computed by counting the numbe
 r of maximal north-east lattice paths in an diagram representing the stron
 gly stable set.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tara Fife (Louisiana State University)
DTSTART:20200416T154000Z
DTEND:20200416T161000Z
DTSTAMP:20260404T094547Z
UID:NASO/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 5/">A friendly Introduction to matroids</a>\nby Tara Fife (Louisiana State
  University) as part of Max Planck Institute nonlinear algebra seminar onl
 ine\n\n\nAbstract\nMatroids were introduced by Whitney in 1935 to provide 
 an abstract generalization of the notion of linear independence. Whitney n
 oted that matroids arise naturally from graphs and from matrices. More rec
 ently\, people have discovered ties to matroid theory and algebraic geomet
 ry. In this talk\, I will first introduce matroid theory\, along with some
  key examples\, and central questions. I will then discuss connections bet
 ween matroid theory and nonlinear algebra.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:José Samper (MPI MIS\, Leipzig)
DTSTART:20200416T162000Z
DTEND:20200416T165000Z
DTSTAMP:20260404T094547Z
UID:NASO/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 6/">Some shelling orders are better than others</a>\nby José Samper (MPI 
 MIS\, Leipzig) as part of Max Planck Institute nonlinear algebra seminar o
 nline\n\n\nAbstract\nA shelling order is a recursive way of constructing a
  polyhedral complex that helps to understand several topological\, algebra
 ic and combinatorial invariants. Consequently\, a significant amount of ef
 fort has been put into developing techniques to determine if a given compl
 ex has a shelling order. In this talk we will explore a different point of
  view that is less popular: for a complex that admits many shelling orders
 \, a good choice of the shelling order can can make a significant differen
 ce. We address this problem for matroid independence complexes\, present a
 n intriguing connection with shelling orders of polytopes\, and discuss so
 me experiments aimed at better understanding some old problems. This is ba
 sed on joint work Alex Heaton.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anna Seigal (University of Oxford)
DTSTART:20200421T150000Z
DTEND:20200421T153000Z
DTSTAMP:20260404T094547Z
UID:NASO/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 7/">Torus actions and maximum likelihood estimation</a>\nby Anna Seigal (U
 niversity of Oxford) as part of Max Planck Institute nonlinear algebra sem
 inar online\n\n\nAbstract\nWe describe connections between invariant theor
 y and maximum likelihood estimation\, in the context of log-linear models.
  Finding a maximum likelihood estimate (MLE) is an optimisation problem ov
 er a statistical model\, to obtain the point that best fits observed data.
  We show that this is equivalent to a capacity problem - finding the point
  of minimal norm in an orbit under a corresponding torus action. The exist
 ence of the MLE can then be characterized by stability under the action. M
 oreover\, algorithms from statistics can be used in invariant theory\, and
  vice versa. Based on joint work with Carlos Améndola\, Kathlén Kohn and
  Philipp Reichenbach. This is part one of a two part talk: in the second p
 art\, Philipp Reichenbach will discuss our results for multivariate Gaussi
 an models.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Philipp Reichenbach (Technical University Berlin)
DTSTART:20200421T154000Z
DTEND:20200421T161000Z
DTSTAMP:20260404T094547Z
UID:NASO/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 8/">Invariant Theory and Matrix Normal Models</a>\nby Philipp Reichenbach 
 (Technical University Berlin) as part of Max Planck Institute nonlinear al
 gebra seminar online\n\n\nAbstract\nWe describe connections between invari
 ant theory and maximum likelihood estimation (ML estimation)\, in the cont
 ext of matrix normal models. Namely\, we link ML estimation in that case t
 o the left right action of SLxSL on tuples of matrices. This enables us to
  characterize ML estimation by stability under that group action. Furtherm
 ore\, invariant theory provides a new upper bound on the sample size for g
 eneric boundedness of the log-likelihood function. To illuminate the theor
 y the talk puts emphasis on several examples. At the end we briefly outlin
 e how our results generalize to Gaussian group models.\n\nBased on joint w
 ork with Carlos Améndola\, Kathlén Kohn and Anna Seigal. This is the sec
 ond part of a two part talk: in the first part\, Anna Seigal will discuss 
 our results for log-linear models.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aida Maraj (University of Kentucky)
DTSTART:20200421T162000Z
DTEND:20200421T165000Z
DTSTAMP:20260404T094547Z
UID:NASO/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 9/">The Equivariant Hilbert Series of Hierarchical Models</a>\nby Aida Mar
 aj (University of Kentucky) as part of Max Planck Institute nonlinear alge
 bra seminar online\n\n\nAbstract\nA hierarchical model is realizable by a 
 simplicial complex that describes the dependency relationships among rando
 m variables and the number of states of each random variable. Diaconis and
  Sturmfels have constructed toric ideals that provide useful information a
 bout the model. This talk concerns quantitative properties for families of
  ideals arising from hierarchical models with the same dependency relation
 s and varying number of states. We introduce and study invariant filtratio
 ns of such ideals\, and their equivariant Hilbert series. A condition that
  guarantees this multivariate series is a rational function will be presen
 ted. The key is to construct finite automata that recognize languages corr
 esponding to invariant filtrations. Lastly\, we show that one can similarl
 y prove the rationality of an equivariant Hilbert series for some filtrati
 ons of algebras. This is joint work with Uwe Nagel.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Ruddy (MPI MIS\, Leipzig)
DTSTART:20200423T150000Z
DTEND:20200423T153000Z
DTSTAMP:20260404T094547Z
UID:NASO/10
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 10/">Equivalence classes of planar algebraic curves through numerical alge
 braic geometry</a>\nby Michael Ruddy (MPI MIS\, Leipzig) as part of Max Pl
 anck Institute nonlinear algebra seminar online\n\n\nAbstract\nFor the act
 ion of a group on the plane\, the group equivalence problem for curves can
  be stated as: given two curves\, decide if they are related by an element
  of the group. We describe an efficient equality test\, using tools from n
 umerical algebraic geometry\, to determine (with “probability-one”) wh
 ether or not two rational maps have the same image up to Zariski closure. 
 Using signature maps\, constructed from differential and joint invariants\
 , we apply this test to solve the group equivalence problem for algebraic 
 curves under the linear action of algebraic groups. In this talk I will di
 scuss the equality test and signature maps for algebraic curves\, focusing
  on the action of the complex Euclidean group for our computations and exa
 mples. I will present some of our results comparing the sensitivity of dif
 ferent signature maps. This is based on joint work with Tim Duff.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Laura Brustenga i Moncusi (University of Copenhagen)
DTSTART:20200423T154000Z
DTEND:20200423T161000Z
DTSTAMP:20260404T094547Z
UID:NASO/11
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 11/">Reaction networks and toric systems</a>\nby Laura Brustenga i Moncusi
  (University of Copenhagen) as part of Max Planck Institute nonlinear alge
 bra seminar online\n\n\nAbstract\nMass-action networks (edge labelled dire
 cted graphs) model cascades of chemical reactions (e.g. used by biological
  systems for adapting to the environment). From the assumption of mass-act
 ion kinetics\, a mass-action network gives rise to a polynomial dynamical 
 system. In this large class of polynomial systems\, the intuition from Che
 mistry and Algebraic Geometry feed themselves\, giving exciting new result
 s. For example\, we will discuss complex balanced mass-action networks\, w
 hich have a natural chemical interpretation and (conjecturally) completely
  determines the dynamics of the associated systems (called toric dynamical
  systems). We will introduce “disguised toric systems”\, which exploit
  this relationship the other way around: given a dynamical system\, can we
  build a complex balanced mass-action network for it?\n\n(Joint work with 
 Gheorghe Craciun and Miruna-Ştefana Sorea).\n
LOCATION:https://stable.researchseminars.org/talk/NASO/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Taylor Brysiewicz (Texas A&M)
DTSTART:20200423T162000Z
DTEND:20200423T165000Z
DTSTAMP:20260404T094547Z
UID:NASO/12
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 12/">Solving decomposable sparse systems</a>\nby Taylor Brysiewicz (Texas 
 A&M) as part of Max Planck Institute nonlinear algebra seminar online\n\n\
 nAbstract\nAmendola et al. proposed a method for solving systems of polyno
 mial equations lying in a family which exploits a recursive decomposition 
 into smaller systems. A family of systems admits such a decomposition if a
 nd only if the corresponding monodromy group is imprimitive. A consequence
  of Esterov’s classification of sparse polynomial systems with imprimiti
 ve monodromy groups is that this decomposition is obtained by inspection. 
 Using these ideas\, we present a recursive algorithm to numerically solve 
 decomposable sparse systems. This is joint work with Frank Sottile\, Jose 
 Rodriguez\, and Thomas Yahl.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sascha Timme (Technical University Berlin)
DTSTART:20200430T150000Z
DTEND:20200430T153000Z
DTSTAMP:20260404T094547Z
UID:NASO/13
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 13/">3264 Conics in a Second</a>\nby Sascha Timme (Technical University Be
 rlin) as part of Max Planck Institute nonlinear algebra seminar online\n\n
 \nAbstract\nEnumerative algebraic geometry counts the solutions to certain
  geometric constraints. Numerical algebraic geometry determines these solu
 tions for any given instance. In this talk I want to illustrate how these 
 two fields complement each other. The focus lies on the 3264 conics that a
 re tangent to five given conics in the plane. I will illustrate tools and 
 techniques used in numerical algebraic geometry and how we used these to f
 ind a fully real instance of this classic problem.\n\nThis is joint work w
 ith P. Breiding and B. Sturmfels.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Louis Theran (University of St. Andrews)
DTSTART:20200409T154000Z
DTEND:20200409T162000Z
DTSTAMP:20260404T094547Z
UID:NASO/14
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 14/">Graph rigidity and measurement varieties</a>\nby Louis Theran (Univer
 sity of St. Andrews) as part of Max Planck Institute nonlinear algebra sem
 inar online\n\n\nAbstract\nGeometric rigidity theory is concerned with how
  much information about a configuration p of n points in a d-dimensional E
 uclidean space is determined by pairwise Euclidean distance measurements\,
  indexed by the edges of a graph G with n vertices. One can turn this arou
 nd\, and\, define\, for a fixed graph G\, a “measurement variety" associ
 ated with all possible edge lengths measurements as the configuration vari
 es. I’ll survey some (somewhat) recent results in geometric rigidity obt
 ained by studying the geometry of measurement varieties.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eugenie Hunsicker (Loughborough University)
DTSTART:20200409T162000Z
DTEND:20200409T170000Z
DTSTAMP:20260404T094547Z
UID:NASO/15
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 15/">Architecture for the Working Mathematician</a>\nby Eugenie Hunsicker 
 (Loughborough University) as part of Max Planck Institute nonlinear algebr
 a seminar online\n\n\nAbstract\nDel Pezzo surfaces are classified by their
  degree\, an integer between 1 and 9. Famous examples are those of degree 
 3\, which are cubic surfaces in $P ^ 3$. In this talk I will focus on del 
 Pezzo surfaces of degree 1. After briefly describing their geometry\, I wi
 ll talk about the set of Q-valued (rational) points on such a surface. I w
 ill show what is known about this set so far\, and which questions are sti
 ll open.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joscha Diehl (Universität Greifswald)
DTSTART:20200428T150000Z
DTEND:20200428T153000Z
DTSTAMP:20260404T094547Z
UID:NASO/16
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 16/">Time warping invariants and quasisymmetric functions</a>\nby Joscha D
 iehl (Universität Greifswald) as part of Max Planck Institute nonlinear a
 lgebra seminar online\n\n\nAbstract\nThe analysis of time series is a stan
 dard task in data science. Usually\, as a first step\, features of a time 
 series must be extracted that characterize the series\, maybe modulo irrel
 evant (depending on the application) group actions on the original data. I
 n this talk I will discuss the action of time-warping: the features should
  be invariant to the speed at which the time-series is run through. This l
 eads\, as we show\, to quasisymmetric functions\, and I discuss their Hopf
  algebraic setup.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arthur Bik (Universität Bern)
DTSTART:20200428T154000Z
DTEND:20200428T161000Z
DTSTAMP:20260404T094547Z
UID:NASO/17
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 17/">Polynomial functors as affine spaces</a>\nby Arthur Bik (Universität
  Bern) as part of Max Planck Institute nonlinear algebra seminar online\n\
 n\nAbstract\nPolynomial functors are like spaces of objects (e.g. k-way te
 nsors) without fixed size and come with an action of (products of) general
  linear groups. The aim of this talk is to answer the following question: 
 what happens when you replace vector spaces by polynomial functors when de
 fining affine spaces?\n\nI will define polynomial functors\, the maps betw
 een them and their Zariski-closed subsets and give examples of these thing
 s. Then\, I will discuss how to extend some of the basic results from affi
 ne algebraic geometry to this setting. This is joint work with Jan Draisma
 \, Rob Eggermont and Andrew Snowden.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lukas Kühne (The Hebrew University of Jerusalem)
DTSTART:20200428T162000Z
DTEND:20200428T165000Z
DTSTAMP:20260404T094547Z
UID:NASO/18
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 18/">Generalised Matroid Representations: Universality and Decidability</a
 >\nby Lukas Kühne (The Hebrew University of Jerusalem) as part of Max Pla
 nck Institute nonlinear algebra seminar online\n\n\nAbstract\nA matroid is
  a combinatorial object based on an abstraction of linear independence in 
 vector spaces and forests in graphs. It is a classical question to determi
 ne whether a given matroid is representable as a vector configuration over
  a field. Such a matroid is called linear.\n\nThis talk addresses generali
 sations of such representations over division rings or matrix rings which 
 are called skew linear and multilinear matroids respectively.We will descr
 ibe a generalised Dowling geometry that encodes non commutative equations 
 in matroids. This construction allows us to reduce word problem instances 
 to skew linear or multilinear matroid representations.\n\nThe talk is base
 d on joint work with Rudi Pendavingh and Geva Yashfe.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Frank Sottile (Texas A&M University)
DTSTART:20200430T154000Z
DTEND:20200430T161000Z
DTSTAMP:20260404T094547Z
UID:NASO/19
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 19/">Galois groups in Enumerative Geometry and Applications</a>\nby Frank 
 Sottile (Texas A&M University) as part of Max Planck Institute nonlinear a
 lgebra seminar online\n\n\nAbstract\nIn 1870 Jordan explained how Galois t
 heory can be applied to problems from enumerative geometry\, with the grou
 p encoding intrinsic structure of the problem. Earlier Hermite showed the 
 equivalence of Galois groups with geometric monodromy groups\, and in 1979
  Harris initiated the modern study of Galois groups of enumerative problem
 s. He posited that a Galois group should be ‘as large as possible’ in 
 that it will be the largest group preserving internal symmetry in the geom
 etric problem.\n\nI will describe this background and discuss some work in
  a long-term project to compute\, study\, and use Galois groups of geometr
 ic problems\, including those that arise in applications of algebraic geom
 etry. A main focus is to understand Galois groups in the Schubert calculus
 \, a well-understood class of geometric problems that has long served as a
  laboratory for testing new ideas in enumerative geometry.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khazhgali Kozhasov (Technical University Braunschweig)
DTSTART:20200430T162000Z
DTEND:20200430T165000Z
DTSTAMP:20260404T094547Z
UID:NASO/20
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 20/">On Minimality of Determinantal Varieties</a>\nby Khazhgali Kozhasov (
 Technical University Braunschweig) as part of Max Planck Institute nonline
 ar algebra seminar online\n\n\nAbstract\nMinimal submanifolds are mathemat
 ical abstractions of soap films: they minimize the Riemannian volume local
 ly around every point. Finding minimal algebraic hypersurfaces in 𝑅𝑛
  for each n is a long-standing open problem posed by Hsiang. In 2010 Tkach
 ev gave a partial solution to this problem showing that the hypersurface o
 f n x n real matrices of corank one is minimal. I will discuss the followi
 ng generalization of this fact to all determinantal matrix varieties: for 
 any m\, n and r<m\,n the (open) variety of m x n real matrices of rank r i
 s minimal.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diane Maclagan (University of Warwick)
DTSTART:20200512T150000Z
DTEND:20200512T160000Z
DTSTAMP:20260404T094547Z
UID:NASO/21
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 21/">Connectivity of tropical varieties</a>\nby Diane Maclagan (University
  of Warwick) as part of Max Planck Institute nonlinear algebra seminar onl
 ine\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joachim Jelisiejew (University of Warsaw)
DTSTART:20200519T150000Z
DTEND:20200519T160000Z
DTSTAMP:20260404T094547Z
UID:NASO/22
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 22/">Additive group actions\, formal solutions to PDEs and Bialynicki-Biru
 la decomposition</a>\nby Joachim Jelisiejew (University of Warsaw) as part
  of Max Planck Institute nonlinear algebra seminar online\n\n\nAbstract\nL
 et $X$ be a smooth projective variety over $\\mathbb{C}$ with an action of
  $(\\mathbb{C}\, +)$. Assume that $X$ has a unique fixed point $x_0$. Carr
 ell’s conjecture predicts that $X$ is rational. Restriction of orbits to
  germs at $x_0$ reduces this conjecture to describing solutions of certain
  systems of PDE in the formal power series ring $k[[t]]$ with $d(t) = -t^2
 $. This suggests a stronger form of the conjecture: $X$ is a union of affi
 ne spaces. This strengthening would give an analogue of Bialynicki-Birula 
 decomposition for $(\\mathbb{C}\, +)$.\nIn the talk I will explain the bea
 utiful basics on how the $(\\mathbb{C}\, +)$-actions\, differential equati
 ons and rationality intertwine and then present the state of the art on th
 e conjecture. This is a work in progress\, comments and suggestions are we
 lcome!\n
LOCATION:https://stable.researchseminars.org/talk/NASO/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christian Ikenmeyer (University of Liverpool)
DTSTART:20200526T150000Z
DTEND:20200526T160000Z
DTSTAMP:20260404T094547Z
UID:NASO/23
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 23/">Group varieties of polynomials and computational complexity</a>\nby C
 hristian Ikenmeyer (University of Liverpool) as part of Max Planck Institu
 te nonlinear algebra seminar online\n\n\nAbstract\nMany varieties of polyn
 omials carry a canonical action of the general linear group. This talk giv
 es an introduction on how representation theory can be used in the study o
 f the equations of such varieties. We then focus on recent research in geo
 metric complexity theory on continuant orbit closures and plethysm coeffic
 ients.\n
LOCATION:https://stable.researchseminars.org/talk/NASO/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Laurent Manivel (Paul Sabatier University)
DTSTART:20200616T150000Z
DTEND:20200616T160000Z
DTSTAMP:20260404T094547Z
UID:NASO/24
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 24/">Orbital Degeneracy Loci</a>\nby Laurent Manivel (Paul Sabatier Univer
 sity) as part of Max Planck Institute nonlinear algebra seminar online\n\n
 Abstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tim Seynnaeve (Max Planck Institute for Mathematics in the Science
 s)
DTSTART:20200602T150000Z
DTEND:20200602T160000Z
DTSTAMP:20260404T094547Z
UID:NASO/25
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 25/">Complete quadrics and algebraic statistics</a>\nby Tim Seynnaeve (Max
  Planck Institute for Mathematics in the Sciences) as part of Max Planck I
 nstitute nonlinear algebra seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessandra Bernardi (Università di Trento)
DTSTART:20200609T150000Z
DTEND:20200609T160000Z
DTSTAMP:20260404T094547Z
UID:NASO/26
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 26/">Algorithms for polynomial decompositions</a>\nby Alessandra Bernardi 
 (Università di Trento) as part of Max Planck Institute nonlinear algebra 
 seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amy Huang (Texas A&M University)
DTSTART:20200623T150000Z
DTEND:20200623T155000Z
DTSTAMP:20260404T094547Z
UID:NASO/27
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 27/">Vanishing Hessian and Wild Polynomials</a>\nby Amy Huang (Texas A&M U
 niversity) as part of Max Planck Institute nonlinear algebra seminar onlin
 e\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Henrik Eisenmann (Max Planck Institute for Mathematics in the Scie
 nces)
DTSTART:20200630T150000Z
DTEND:20200630T155000Z
DTSTAMP:20260404T094547Z
UID:NASO/28
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 28/">Using an alternating approach to solve two-parameter eigenvalue probl
 ems</a>\nby Henrik Eisenmann (Max Planck Institute for Mathematics in the 
 Sciences) as part of Max Planck Institute nonlinear algebra seminar online
 \n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rosa Winter (Max Planck Institute for Mathematics in the Sciences)
DTSTART:20210202T160000Z
DTEND:20210202T164500Z
DTSTAMP:20260404T094547Z
UID:NASO/29
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 29/">Linear spaces of symmetric matrices with non-maximal maximum likeliho
 od degree</a>\nby Rosa Winter (Max Planck Institute for Mathematics in the
  Sciences) as part of Max Planck Institute nonlinear algebra seminar onlin
 e\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Juliette Bruce (University of California\, Berkeley)
DTSTART:20210202T164500Z
DTEND:20210202T173000Z
DTSTAMP:20260404T094547Z
UID:NASO/30
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 30/">The top weight cohomology of Ag</a>\nby Juliette Bruce (University of
  California\, Berkeley) as part of Max Planck Institute nonlinear algebra 
 seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luca Sodomaco (Aalto University)
DTSTART:20210216T160000Z
DTEND:20210216T164500Z
DTSTAMP:20260404T094547Z
UID:NASO/31
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 31/">Asymptotics of degrees and ED degrees of Segre products</a>\nby Luca 
 Sodomaco (Aalto University) as part of Max Planck Institute nonlinear alge
 bra seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elizabeth Gross (University of Hawai`i at Mānoa)
DTSTART:20210216T164500Z
DTEND:20210216T173000Z
DTSTAMP:20260404T094547Z
UID:NASO/32
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 32/">When do two networks have the same steady-state ideal?</a>\nby Elizab
 eth Gross (University of Hawai`i at Mānoa) as part of Max Planck Institut
 e nonlinear algebra seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aldo Conca (Università di Genova)
DTSTART:20210223T160000Z
DTEND:20210223T164500Z
DTSTAMP:20260404T094547Z
UID:NASO/33
DESCRIPTION:by Aldo Conca (Università di Genova) as part of Max Planck In
 stitute nonlinear algebra seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mauricio Velasco (Universidad de los Andes\, Bogotá)
DTSTART:20210223T164500Z
DTEND:20210223T173000Z
DTSTAMP:20260404T094547Z
UID:NASO/34
DESCRIPTION:by Mauricio Velasco (Universidad de los Andes\, Bogotá) as pa
 rt of Max Planck Institute nonlinear algebra seminar online\n\nAbstract: T
 BA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gleb Pogudin (École polytechnique Paris)
DTSTART:20210302T160000Z
DTEND:20210302T164500Z
DTSTAMP:20260404T094547Z
UID:NASO/35
DESCRIPTION:by Gleb Pogudin (École polytechnique Paris) as part of Max Pl
 anck Institute nonlinear algebra seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alicia Dickenstein (Universidad de Buenos Aires)
DTSTART:20210302T164500Z
DTEND:20210302T173000Z
DTSTAMP:20260404T094547Z
UID:NASO/36
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 36/">Optimal Descartes rule of signs for polynomial systems supported on c
 ircuits</a>\nby Alicia Dickenstein (Universidad de Buenos Aires) as part o
 f Max Planck Institute nonlinear algebra seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Liam Solus (KTH Royal Institute of Technology)
DTSTART:20210316T160000Z
DTEND:20210316T164500Z
DTSTAMP:20260404T094547Z
UID:NASO/38
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 38/">Some recent developments on the geometry of causation</a>\nby Liam So
 lus (KTH Royal Institute of Technology) as part of Max Planck Institute no
 nlinear algebra seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lisa Nicklasson (Max Planck Institute for Mathematics in the Scien
 ces)
DTSTART:20210316T164500Z
DTEND:20210316T173000Z
DTSTAMP:20260404T094547Z
UID:NASO/39
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 39/">Toric ideals of polymatroids and White’s conjecture</a>\nby Lisa Ni
 cklasson (Max Planck Institute for Mathematics in the Sciences) as part of
  Max Planck Institute nonlinear algebra seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Georg Regensburger (Johannes Kepler Universität Linz)
DTSTART:20210330T150000Z
DTEND:20210330T154500Z
DTSTAMP:20260404T094547Z
UID:NASO/40
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 40/">Positive solutions of generalized polynomial systems with real expone
 nts and chemical reaction networks</a>\nby Georg Regensburger (Johannes Ke
 pler Universität Linz) as part of Max Planck Institute nonlinear algebra 
 seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonas Hirsch (Leipzig University)
DTSTART:20210330T154500Z
DTEND:20210330T163000Z
DTSTAMP:20260404T094547Z
UID:NASO/41
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 41/">Real varieties and measure-valued solutions to PDEs</a>\nby Jonas Hir
 sch (Leipzig University) as part of Max Planck Institute nonlinear algebra
  seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anna-Laura Sattelberger (MPI MiS)
DTSTART:20220221T133000Z
DTEND:20220221T135500Z
DTSTAMP:20260404T094547Z
UID:NASO/42
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 42/">Linear Differential Operators in the Sciences</a>\nby Anna-Laura Satt
 elberger (MPI MiS) as part of Max Planck Institute nonlinear algebra semin
 ar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eliana Duarte (Centro de Matemática of the Universidade do Porto)
DTSTART:20220221T135500Z
DTEND:20220221T142000Z
DTSTAMP:20260404T094547Z
UID:NASO/43
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 43/">Toric Varieties in Algebraic Statistics and Geometric Modeling</a>\nb
 y Eliana Duarte (Centro de Matemática of the Universidade do Porto) as pa
 rt of Max Planck Institute nonlinear algebra seminar online\n\nAbstract: T
 BA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fulvio Gesmundo (MP MiS)
DTSTART:20220221T142000Z
DTEND:20220221T144500Z
DTSTAMP:20260404T094547Z
UID:NASO/44
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 44/">Geometric methods in the study of tensor networks</a>\nby Fulvio Gesm
 undo (MP MiS) as part of Max Planck Institute nonlinear algebra seminar on
 line\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giles Gardam (University of Muenster)
DTSTART:20220221T144500Z
DTEND:20220221T151000Z
DTSTAMP:20260404T094547Z
UID:NASO/45
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 45/">The Kaplansky conjectures</a>\nby Giles Gardam (University of Muenste
 r) as part of Max Planck Institute nonlinear algebra seminar online\n\nAbs
 tract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marta Panizzut (TU Berlin)
DTSTART:20220221T152000Z
DTEND:20220221T154500Z
DTSTAMP:20260404T094547Z
UID:NASO/46
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 46/">Computational methods in polyhedral and algebraic geometry</a>\nby Ma
 rta Panizzut (TU Berlin) as part of Max Planck Institute nonlinear algebra
  seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marvin Anas Hahn (Sorbonne Université)
DTSTART:20220221T154500Z
DTEND:20220221T161000Z
DTSTAMP:20260404T094547Z
UID:NASO/47
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 47/">Degenerations in algebraic and applied geometry</a>\nby Marvin Anas H
 ahn (Sorbonne Université) as part of Max Planck Institute nonlinear algeb
 ra seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Telen (MPI MiS)
DTSTART:20220221T161000Z
DTEND:20220221T163500Z
DTSTAMP:20260404T094547Z
UID:NASO/48
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 48/">Numerical nonlinear algebra in particle physics</a>\nby Simon Telen (
 MPI MiS) as part of Max Planck Institute nonlinear algebra seminar online\
 n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yairon Cid Ruiz (Ghent University)
DTSTART:20220221T163500Z
DTEND:20220221T170000Z
DTSTAMP:20260404T094547Z
UID:NASO/49
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/NASO/
 49/">Multidegrees at the crossroads of algebra\, geometry and combinatoric
 s</a>\nby Yairon Cid Ruiz (Ghent University) as part of Max Planck Institu
 te nonlinear algebra seminar online\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/NASO/49/
END:VEVENT
END:VCALENDAR
