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:20260422T212937Z UID:RVAGeometry2023/1 DESCRIPTION:Title: A 4-manifold invariant from topological modular forms\nby Slav a Krushkal (University of Virginia) as part of Richmond Geometry Meeting 2 023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\nAbstrac t\nI will discuss work in progress\, joint with Sergei Gukov\, Lennart Mei er\, and Du Pei\, concerning a construction of a 4-manifold invariant usin g the theory of topological modular forms\, and TQFT properties of this in variant. This is a mathematical construction related to a particular insta nce of the Gukov-Pei-Putrov-Vafa program associating an invariant of 4-man ifolds to certain 6-dimensional superconformal field theories.\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Beibei Liu (MIT) DTSTART:20230602T190000Z DTEND:20230602T200000Z DTSTAMP:20260422T212937Z UID:RVAGeometry2023/2 DESCRIPTION:Title: Skein exact sequence in Heegaard Floer homology\nby Beibei Liu (MIT) as part of Richmond Geometry Meeting 2023\n\nLecture held in VCU Ac ademic Learning Commons Room 1104.\n\nAbstract\nSkein exact sequences for links show up in Khovanov homology and various Floer homologies. In this t alk\, we will talk about the skein exact sequence for links from the surge ry exact triangle in Heegaard Floer homology. As an application\, this can be used to study splitting numbers and splitting maps for links. In parti cular\, we do the explicit computation for the split maps of the torus lin k T(n\, n) and compare it with the computation in the deformed HOMFLY homo logy.\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Charles Doran (Bard College and University of Alberta\, Canada) DTSTART:20230602T210000Z DTEND:20230602T220000Z DTSTAMP:20260422T212937Z UID:RVAGeometry2023/3 DESCRIPTION:Title: Motivic Geometry of Two-Loop Feynman Integrals\nby Charles Dor an (Bard College and University of Alberta\, Canada) as part of Richmond G eometry Meeting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\nAbstract\nWe study the geometry and Hodge theory of the cubic hy persurfaces attached to two-loop Feynman integrals for generic physical pa rameters. We show that the Hodge structure attached to planar two-loop Fey nman graphs decomposes into a mixed Tate piece and a variation of Hodge st ructure from families of hyperelliptic curves\, elliptic curves\, or ratio nal curves depending on the space-time dimension. We give more precise res ults for two-loop graphs with a small number of edges. In particular\, we recover a result of Spencer Bloch that in the well-known double box exampl e there is an underlying family of elliptic curves\, and we give a concret e 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 surfa ces of generic Picard number 11. Lastly\, we show that generic members of the multi-scoop ice cream cone family of graph hypersurfaces correspond to pairs of multi-loop sunset Calabi-Yau varieties. Our geometric realizatio n of these motives permits us in many cases to derive in full the homogene ous differential operators for the corresponding Feynman integrals.\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Hülya Argüz (University of Georgia) DTSTART:20230603T130000Z DTEND:20230603T140000Z DTSTAMP:20260422T212937Z UID:RVAGeometry2023/4 DESCRIPTION:Title: Quivers\, flow trees and log curves\nby Hülya Argüz (Univers ity of Georgia) as part of Richmond Geometry Meeting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\nAbstract\nDonaldson-Thomas (DT) invariants of a quiver with potential can be expressed in terms of si mpler attractor DT invariants by a universal formula. The coefficients in this formula are calculated combinatorially using attractor flow trees. In joint work with Bousseau (arXiv:2302.02068)\, we prove that these coeffic ients are genus 0 log Gromov-Witten invariants of d-dimensional toric vari eties\, where d is the number of vertices of the quiver. This result follo ws from a log-tropical correspondence theorem which relates (d-2)-dimensio nal families of tropical curves obtained as universal deformations of attr actor flow trees\, and rational log curves in toric varieties.\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Reimundo Heluani (IMPA) DTSTART:20230603T150000Z DTEND:20230603T160000Z DTSTAMP:20260422T212937Z 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 Learnin g Commons Room 1104.\n\nAbstract\nWe describe PBW bases of the unique thre e irreducible modules of the Virasoro Lie algebra with central charge c=1/ 2. We use these bases to find new bi-variable character formulas for these modules and describe new Rogers-Ramanujan-type identities from them. Thi s is a report on the thesis of Diego Salazar Gutierrez (IMPA).\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Jim Bryan (University of British Columbia) DTSTART:20230603T193000Z DTEND:20230603T203000Z DTSTAMP:20260422T212937Z UID:RVAGeometry2023/6 DESCRIPTION:Title: The enumerative geometry of nano banana manifolds\nby Jim Brya n (University of British Columbia) as part of Richmond Geometry Meeting 20 23\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\nAbstract \nThe Hodge numbers of a Calabi-Yau threefold X are determined by the two numbers h^{1\,1}(X) and h^{1\,2}(X) which can be interpreted respectively as the dimensions of the space of Kahler forms and complex deformations re spectively. We construct examples of rigid Calabi-Yaus (h^{2\,1}=0) with P icard 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 (par tially) compute the partition functions of these manifolds and in particul ar show that the genus g Gromov-Witten potential is given by a weight 2g-2 Siegel paramodular form. We will explain the construction and explain why manifolds of “banana type” are amenable to computing enumerative inva riants. This is joint work with Stephen Pietromonaco.\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Antonio Alfieri (CRM-ISM\, Canada) DTSTART:20230604T130000Z DTEND:20230604T140000Z DTSTAMP:20260422T212937Z UID:RVAGeometry2023/7 DESCRIPTION:Title: Instanton Floer homology of almost-rational plumbings\nby Anto nio Alfieri (CRM-ISM\, Canada) as part of Richmond Geometry Meeting 2023\n \nLecture held in VCU Academic Learning Commons Room 1104.\n\nAbstract\nPl umbed three-manifolds are those three-manifolds that can be realized as li nks of isolated complex surface singularities. Inspired by Heegaard Floer theory Nemethi introduced a combinatorial invariant of complex surface sin gularities (lattice cohomology) that was recently proved to be isomorphic to Heegaard Floer homology (Zemke). I will expose some work in collaborati on with John Baldwin\, Irving Dai\, and Steven Sivek showing that the latt ice cohomology of an almost-rational singularity is isomorphic to the fram ed Instanton Floer homology of its link. The proof goes through lattice co homology and makes use of the decomposition along characteristic vectors o f the instanton cobordism maps found by Baldwin and Sivek.\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Dragos Oprea (University of California San Diego) DTSTART:20230604T143000Z DTEND:20230604T153000Z DTSTAMP:20260422T212937Z UID:RVAGeometry2023/8 DESCRIPTION:Title: Cycles on the moduli space of abelian varieties\nby Dragos Opr ea (University of California San Diego) as part of Richmond Geometry Meeti ng 2023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\nAbs tract\nI will present a few new results and conjectures regarding tautolog ical classes on the moduli space of principally polarized abelian varietie s. The case of abelian 6-folds is particularly interesting. This is based on joint work with Samir Canning and Rahul Pandharipande.\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Pavel Putrov (ICTP\, Italy) DTSTART:20230604T160000Z DTEND:20230604T170000Z DTSTAMP:20260422T212937Z UID:RVAGeometry2023/9 DESCRIPTION:Title: Analytically continued Chern-Simons theory on plumbed 3-manifolds< /a>\nby Pavel Putrov (ICTP\, Italy) as part of Richmond Geometry Meeting 2 023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\nAbstrac t\nI will present a finite-dimensional model for analytically continued Ch ern-Simons theory on closed 3-manifolds that are described by plumbing tre es. From this model\, one can define a collection of topological invariant s labeled by pairs of flat connections and valued in formal power series w ith integral coefficients. I will also comment on a possible categorificat ion\, which can be interpreted as a finite-dimensional model of Fukaya-Sei del category of Chern-Simons functional on the space of SL(2\,C) connectio ns.\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Welcome message DTSTART:20230602T164500Z DTEND:20230602T170000Z DTSTAMP:20260422T212937Z UID:RVAGeometry2023/10 DESCRIPTION:Title: Welcome message\nby Welcome message as part of Richmond Geome try Meeting 2023\n\nLecture held in VCU Academic Learning Commons Room 110 4.\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Career Panel DTSTART:20230603T180000Z DTEND:20230603T190000Z DTSTAMP:20260422T212937Z UID:RVAGeometry2023/11 DESCRIPTION:Title: Career Panel\nby Career Panel as part of Richmond Geometry Me eting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104.\nAb stract: TBA\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Poster Session DTSTART:20230603T210000Z DTEND:20230603T223000Z DTSTAMP:20260422T212937Z UID:RVAGeometry2023/12 DESCRIPTION:Title: Poster Session\nby Poster Session as part of Richmond Geometr y Meeting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104. \nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/12/ END:VEVENT BEGIN:VEVENT SUMMARY:Social Event DTSTART:20230603T234500Z DTEND:20230604T013000Z DTSTAMP:20260422T212937Z UID:RVAGeometry2023/13 DESCRIPTION:Title: Social Event\nby Social Event as part of Richmond Geometry Me eting 2023\n\nLecture held in VCU Academic Learning Commons Room 1104.\n\n Abstract\nSocial Event at at Brambly Park: https://www.bramblypark.com/\n LOCATION:https://researchseminars.org/talk/RVAGeometry2023/13/ END:VEVENT END:VCALENDAR