BEGIN:VCALENDAR
VERSION:2.0
PRODID:Mathematics Seminar Calendar
BEGIN:VEVENT
UID:20211025T142839-29103@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:Link Floer spectrum via grid diagrams
DESCRIPTION:Speaker\: Sucharit Sarkar, UCLA\r\nLink Floer homology of links in S^3 can be computed as the homology of a grid chain complex defined using grid diagrams. I will describe a construction of a CW spectrum whose cells correspond to the generators of the grid chain complex, and whose cellular chain complex is the grid chain complex (and therefore, the homology is link Floer homology). This is joint with Ciprian Manolescu.
LOCATION:Online (virtual meeting)
DTSTART:20210907T200000Z
DTEND:20210907T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29103
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29101@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:A zero surgery obstruction from involutive Heegaard Floer homology
DESCRIPTION:Speaker\: Peter Johnson, UVA\r\nA fundamental result in 3-manifold topology due to Lickorish and Wallace says that every closed oriented connected 3-manifold can be realized as surgery on a link in the 3-sphere. One may therefore ask: which 3-manifolds can be obtained by surgery on a link with a single component, i.e. a knot, in the 3-sphere? More specifically, one can ask: which 3-manifolds are obtained by zero surgery on a knot in the 3-sphere? In this talk, we give a brief outline of some known results to this question in the context of small Seifert fibered spaces. We then sketch a new method, using involutive Heegaard Floer homology, to show that certain 3-manifolds cannot be obtained by zero surgery on a knot in the three sphere. In particular, we produce a new infinite family of weight 1 irreducible small Seifert fibered spaces with first homology Z which cannot be obtained by zero surgery on a knot in the 3-sphere, extending a result of Hedden, Kim, Mark and Park.
LOCATION:Online (virtual meeting)
DTSTART:20210914T200000Z
DTEND:20210914T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29101
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29120@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:Braid group action on Grassmannian cluster varieties and spherical twists
DESCRIPTION:Speaker\: Chris Fraser, MSU\r\nI will exhibit an action of the d-strand extended affine braid group on the top-dimensional positroid variety in the Grassmannian Gr(k,n), where d = gcd(k,n). Roger Casals and Honghao Gao showed that this action can be used to exhibit infinitely many distinct Lagrangian fillings of (most) Legendrian torus knots. The braid group action is compatible with the cluster variety structure on Gr(k,n). Finally, I will discuss joint work in progress with Bernhard Keller which interprets this action as a composition of spherical twists in bounded derived categories which additively categorify the cluster algebra.
LOCATION:Online (virtual meeting)
DTSTART:20210921T200000Z
DTEND:20210921T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29120
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29119@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:Homological Mirror Symmetry for A_n-type cluster varieties
DESCRIPTION:Speaker\: Peng Zhou, Berkeley\r\nThe A_n type cluster variety, denoted by X_n, is the affine scheme associated to the upper cluster algebra of the A_n quiver (of n unfrozen vertices and one frozen vertex). The dual of X_n is denoted as Y_n, and is isomorphic but not canonically to X_n. For example, the variety X_1 is given by the equation {x y = 1 + q} where x, y are in \C and q is in \C^*. We prove that the homological mirror symmetry (HMS) conjecture for X_n, Y_n: the coherent sheaf category of Coh(X_n) is equivalent to the wrapped Fukaya category WFuk(Y_n), generalizing the known case for n=1 and 2. This is based on a recent work of Gammage-Le on HMS for truncated cluster variety, by putting back the 'truncated' part. This is work in progress, and is joint with Linhui Shen and Zhe Sun.
LOCATION:Online (virtual meeting)
DTSTART:20210928T200000Z
DTEND:20210928T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29119
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29105@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:Twisting quantum invariants via Fox calculus
DESCRIPTION:Speaker\: Daniel López Neumann, Indiana University\r\nThe Reshetikhin-Turaev invariants of a knot are topological invariants built through the representation theory of certain Hopf algebras, such as quantum groups. In the early 2000s, Turaev introduced a G-graded version of this construction that produces invariants of knots equipped with representations of their fundamental group into the group G.\r\n\r\nThis talk will be about a special case of the G-graded construction. We will show that a graded Drinfeld double construction leads to Reshetikhin-Turaev invariants of knots which are “twisted” via the usual Fox calculus. This construction applies to a wide class of Hopf algebras, and in the case of an exterior algebra, it specializes to the twisted Reidemeister torsion of the complement of a knot.\r\n
LOCATION:Online (virtual meeting)
DTSTART:20211005T200000Z
DTEND:20211005T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29105
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29113@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:Asymptotics of the relative Reshetikhin-Turaev invariants
DESCRIPTION:Speaker\: Ka Ho Wong, Texas A&M University\r\nIn a series of joint works with Tian Yang, we made a volume conjecture and an asymptotic expansion conjecture for the relative Reshetikhin-Turaev invariants for a closed oriented 3-manifold with a colored framed link inside it. We propose that their asymptotic behavior is related to the volume, the Chern-Simons invariant and the adjoint twisted Reidemeister torsion associated with the hyperbolic cone metric on the manifold with singular locus the link and cone angles determined by the coloring.\r\n\r\nIn this talk, I will first discuss how our volume conjecture can be understood as an interpolation between the Kashaev-Murakami-Murakami volume conjecture of the colored Jones polynomials and the Chen-Yang volume conjecture of the Reshetikhin-Turaev invariants. Then I will describe how the adjoint twisted Reidemeister torsion shows up in the asymptotic expansion of the invariants. Especially, we find new explicit formulas for the adjoint twisted Reidemeister torsion for the fundamental shadow link complements and for the 3-manifold obtained by doing hyperbolic Dehn-filling on those link complements. Those formulas cover a very large class of hyperbolic 3-manifold and appear naturally in the asymptotic expansion of quantum invariants. Finally, I will summarize the recent progress of the asymptotic expansion conjecture of the fundamental shadow link pairs.
LOCATION:Online (virtual meeting)
DTSTART:20211012T200000Z
DTEND:20211012T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29113
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29112@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:Quantum invariants of surface diffeomorphisms and 3-dimensional hyperbolic geometry
DESCRIPTION:Speaker\: Francis Bonahon, USC\r\nThis talk is motivated by surprising connections between two very different approaches to 3-dimensional topology, namely quantum topology and hyperbolic geometry. The Kashaev-Murakami-Murakami Volume Conjecture connects the growth of colored Jones polynomials of a knot to the hyperbolic volume of its complement. More precisely, for each integer n, one evaluates the n-th Jones polynomial of the knot at the n-root of unity exp(2 pi i/n). The Volume Conjecture predicts that this sequence grows exponentially as n tends to infinity, with exponential growth rate related to the hyperbolic volume of the knot complement. \r\nI will discuss a closely related conjecture for diffeomorphisms of surfaces, based on the representation theory of the Kauffman bracket skein algebra of the surface, a quantum topology object closely related to the Jones polynomial of a knot. I will describe the mathematics underlying this conjecture, which involves a certain Frobenius principle in quantum algebra. I will also present experimental evidence for the conjecture, and describe partial results obtained in work in progress with Helen Wong and Tian Yang.
LOCATION:Online (virtual meeting)
DTSTART:20211019T190000Z
DTEND:20211019T200000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29112
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29108@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:TBA
DESCRIPTION:Speaker\: Break day, no talk\r\nTBA
LOCATION:Online (virtual meeting)
DTSTART:20211026T200000Z
DTEND:20211026T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29108
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29106@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:TBA
DESCRIPTION:Speaker\: James Hughes, UC Davis\r\nTBA
LOCATION:Online (virtual meeting)
DTSTART:20211102T200000Z
DTEND:20211102T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29106
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29111@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:TBA
DESCRIPTION:Speaker\: Mike Wong, Dartmouth\r\nTBA
LOCATION:Online (virtual meeting)
DTSTART:20211109T210000Z
DTEND:20211109T220000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29111
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29117@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:TBA
DESCRIPTION:Speaker\: Anastasiia Tsvietkova, Rutgers\r\nTBA
LOCATION:Online (virtual meeting)
DTSTART:20211116T210000Z
DTEND:20211116T220000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29117
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29124@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:TBA
DESCRIPTION:Speaker\: Vijay Higgins, MSU\r\nTBA
LOCATION:Online (virtual meeting)
DTSTART:20211123T210000Z
DTEND:20211123T220000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29124
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29173@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:TBA
DESCRIPTION:Speaker\: Umut Varolgunes, Edinburgh Hodge Institute\r\nTBA
LOCATION:Online (virtual meeting)
DTSTART:20211207T160000Z
DTEND:20211208T045000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29173
END:VEVENT
BEGIN:VEVENT
UID:20211025T142839-29115@math.msu.edu
DTSTAMP:20211025T142839Z
SUMMARY:TBA
DESCRIPTION:Speaker\: Yu-Shen Lin, Boston University\r\nTBA
LOCATION:Online (virtual meeting)
DTSTART:20211214T210000Z
DTEND:20211214T220000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=29115
END:VEVENT
END:VCALENDAR