BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Slava Krushkal (University of Virginia) DTSTART:20230602T170000Z DTEND:20230602T180000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/1 DESCRIPTION:Title: A 4-manifold invariant from topological modular forms\n by Slava Krushkal (University of Virginia) as part of Richmond Geometry Me eting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\n Abstract\nI will discuss work in progress\, joint with Sergei Gukov\, Lenn art Meier\, and Du Pei\, concerning a construction of a 4-manifold invaria nt using the theory of topological modular forms\, and TQFT properties of this invariant. This is a mathematical construction related to a particula r instance of the Gukov-Pei-Putrov-Vafa program associating an invariant o f 4-manifolds to certain 6-dimensional superconformal field theories.\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Beibei Liu (MIT) DTSTART:20230602T190000Z DTEND:20230602T200000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/2 DESCRIPTION:Title: Skein exact sequence in Heegaard Floer homology\nby Bei bei Liu (MIT) as part of Richmond Geometry Meeting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\nAbstract\nSkein exact sequenc es for links show up in Khovanov homology and various Floer homologies. In this talk\, we will talk about the skein exact sequence for links from th e surgery exact triangle in Heegaard Floer homology. As an application\, t his can be used to study splitting numbers and splitting maps for links. I n particular\, we do the explicit computation for the split maps of the to rus link T(n\, n) and compare it with the computation in the deformed HOMF LY homology.\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Charles Doran (Bard College and University of Alberta\, Canada) DTSTART:20230602T210000Z DTEND:20230602T220000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/3 DESCRIPTION:Title: Motivic Geometry of Two-Loop Feynman Integrals\nby Char les Doran (Bard College and University of Alberta\, Canada) as part of Ric hmond Geometry Meeting 2023\n\nLecture held in VCU Academic Learning Commo ns Room 1104.\n\nAbstract\nWe study the geometry and Hodge theory of the c ubic hypersurfaces attached to two-loop Feynman integrals for generic phys ical parameters. We show that the Hodge structure attached to planar two-l oop Feynman graphs decomposes into a mixed Tate piece and a variation of H odge structure from families of hyperelliptic curves\, elliptic curves\, o r rational curves depending on the space-time dimension. We give more prec ise results for two-loop graphs with a small number of edges. In particula r\, we recover a result of Spencer Bloch that in the well-known double box example there is an underlying family of elliptic curves\, and we give a concrete description of these elliptic curves. We show that the motive for the “non-planar” two-loop tardigrade graph is that of a family of K3 surfaces of generic Picard number 11. Lastly\, we show that generic member s of the multi-scoop ice cream cone family of graph hypersurfaces correspo nd to pairs of multi-loop sunset Calabi-Yau varieties. Our geometric reali zation of these motives permits us in many cases to derive in full the hom ogeneous differential operators for the corresponding Feynman integrals.\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Hülya Argüz (University of Georgia) DTSTART:20230603T130000Z DTEND:20230603T140000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/4 DESCRIPTION:Title: Quivers\, flow trees and log curves\nby Hülya Argüz ( University of Georgia) as part of Richmond Geometry Meeting 2023\n\nLectur e held in VCU Academic Learning Commons Room 1104.\n\nAbstract\nDonaldson- Thomas (DT) invariants of a quiver with potential can be expressed in term s of simpler attractor DT invariants by a universal formula. The coefficie nts in this formula are calculated combinatorially using attractor flow tr ees. In joint work with Bousseau (arXiv:2302.02068)\, we prove that these coefficients are genus 0 log Gromov-Witten invariants of d-dimensional tor ic varieties\, where d is the number of vertices of the quiver. This resul t follows from a log-tropical correspondence theorem which relates (d-2)-d imensional families of tropical curves obtained as universal deformations of attractor flow trees\, and rational log curves in toric varieties.\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Reimundo Heluani (IMPA) DTSTART:20230603T150000Z DTEND:20230603T160000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/5 DESCRIPTION:Title: PBW bases of Ising modules\nby Reimundo Heluani (IMPA) as part of Richmond Geometry Meeting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\nAbstract\nWe describe PBW bases of the uniq ue three irreducible modules of the Virasoro Lie algebra with central char ge c=1/2. We use these bases to find new bi-variable character formulas fo r these modules and describe new Rogers-Ramanujan-type identities from th em. This is a report on the thesis of Diego Salazar Gutierrez (IMPA).\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Jim Bryan (University of British Columbia) DTSTART:20230603T193000Z DTEND:20230603T203000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/6 DESCRIPTION:Title: The enumerative geometry of nano banana manifolds\nby J im Bryan (University of British Columbia) as part of Richmond Geometry Mee ting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\nA bstract\nThe Hodge numbers of a Calabi-Yau threefold X are determined by t he two numbers h^{1\,1}(X) and h^{1\,2}(X) which can be interpreted respec tively as the dimensions of the space of Kahler forms and complex deformat ions respectively. We construct examples of rigid Calabi-Yaus (h^{2\,1}=0) with Picard number 4 (h^{1\,1}=4). These manifolds are of “banana type ” and have among the smallest known values for Calabi-Yau Hodge numbers. We (partially) compute the partition functions of these manifolds and in particular show that the genus g Gromov-Witten potential is given by a wei ght 2g-2 Siegel paramodular form. We will explain the construction and exp lain why manifolds of “banana type” are amenable to computing enumerat ive invariants. This is joint work with Stephen Pietromonaco.\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Antonio Alfieri (CRM-ISM\, Canada) DTSTART:20230604T130000Z DTEND:20230604T140000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/7 DESCRIPTION:Title: Instanton Floer homology of almost-rational plumbings\n by Antonio Alfieri (CRM-ISM\, Canada) as part of Richmond Geometry Meeting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\nAbstr act\nPlumbed three-manifolds are those three-manifolds that can be realize d as links of isolated complex surface singularities. Inspired by Heegaard Floer theory Nemethi introduced a combinatorial invariant of complex surf ace singularities (lattice cohomology) that was recently proved to be isom orphic to Heegaard Floer homology (Zemke). I will expose some work in coll aboration with John Baldwin\, Irving Dai\, and Steven Sivek showing that t he lattice cohomology of an almost-rational singularity is isomorphic to t he framed Instanton Floer homology of its link. The proof goes through lat tice cohomology and makes use of the decomposition along characteristic ve ctors of the instanton cobordism maps found by Baldwin and Sivek.\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Dragos Oprea (University of California San Diego) DTSTART:20230604T143000Z DTEND:20230604T153000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/8 DESCRIPTION:Title: Cycles on the moduli space of abelian varieties\nby Dra gos Oprea (University of California San Diego) as part of Richmond Geometr y Meeting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104. \n\nAbstract\nI will present a few new results and conjectures regarding t autological classes on the moduli space of principally polarized abelian v arieties. The case of abelian 6-folds is particularly interesting. This is based on joint work with Samir Canning and Rahul Pandharipande.\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Pavel Putrov (ICTP\, Italy) DTSTART:20230604T160000Z DTEND:20230604T170000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/9 DESCRIPTION:Title: Analytically continued Chern-Simons theory on plumbed 3-man ifolds\nby Pavel Putrov (ICTP\, Italy) as part of Richmond Geometry Me eting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\n Abstract\nI will present a finite-dimensional model for analytically conti nued Chern-Simons theory on closed 3-manifolds that are described by plumb ing trees. From this model\, one can define a collection of topological in variants labeled by pairs of flat connections and valued in formal power s eries with integral coefficients. I will also comment on a possible catego rification\, which can be interpreted as a finite-dimensional model of Fuk aya-Seidel category of Chern-Simons functional on the space of SL(2\,C) co nnections.\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Welcome message DTSTART:20230602T164500Z DTEND:20230602T170000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/10 DESCRIPTION:Title: Welcome message\nby Welcome message as part of Richmon d Geometry Meeting 2023\n\nLecture held in VCU Academic Learning Commons R oom 1104.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Career Panel DTSTART:20230603T180000Z DTEND:20230603T190000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/11 DESCRIPTION:Title: Career Panel\nby Career Panel as part of Richmond Geom etry Meeting 2023\n\nLecture held in VCU Academic Learning Commons Room 11 04.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Poster Session DTSTART:20230603T210000Z DTEND:20230603T223000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/12 DESCRIPTION:Title: Poster Session\nby Poster Session as part of Richmond Geometry Meeting 2023\n\nLecture held in VCU Academic Learning Commons Roo m 1104.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/12/ END:VEVENT BEGIN:VEVENT SUMMARY:Social Event DTSTART:20230603T234500Z DTEND:20230604T013000Z DTSTAMP:20260404T094653Z UID:RVAGeometry2023/13 DESCRIPTION:Title: Social Event\nby Social Event as part of Richmond Geom etry Meeting 2023\n\nLecture held in VCU Academic Learning Commons Room 11 04.\n\nAbstract\nSocial Event at at Brambly Park: https://www.bramblypark. com/\n LOCATION:https://stable.researchseminars.org/talk/RVAGeometry2023/13/ END:VEVENT END:VCALENDAR