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Talk_id	Date	Speaker	Title
13345	Thursday 9/6 2:00 PM	Alex Waldron, MSU	Yang-Mills flow in dimension four New Window Geometry and Topology Speaker: Alex Waldron, MSU Title: Yang-Mills flow in dimension four Date: 09/06/2018 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Among the classical geometric evolution equations, YM flow is the least nonlinear and best behaved. Nevertheless, curvature concentration is a subtle problem when the base manifold has dimension four. I'll discuss my proof that finite-time singularities do not occur, and briefly describe the infinite-time picture.
13292	Thursday 9/13 2:00 PM	Rita Gitik, Michigan	On Tame Subgroups of Finitely Presented Groups New Window Geometry and Topology Speaker: Rita Gitik, Michigan Title: On Tame Subgroups of Finitely Presented Groups Date: 09/13/2018 Time: 2:00 PM - 2:50 PM Place: C304 Wells Hall We describe several examples of tame subgroups of finitely presented groups and prove that the fundamental groups of certain finite graphs of groups are locally tame.
15396	Thursday 9/27 2:00 PM	Giuseppe Martone, University of Michigan	Hitchin representations and positive configurations of apartments New Window Geometry and Topology Speaker: Giuseppe Martone, University of Michigan Title: Hitchin representations and positive configurations of apartments Date: 09/27/2018 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Hitchin singled out a preferred component in the character variety of representations from the fundamental group of a surface to PSL(d,R). When d=2, this Hitchin component coincides with the Teichm\"uller space consisting of all hyperbolic metrics on the surface. Later Labourie showed that Hitchin representations share many important differential geometric and dynamical properties. Parreau extended previous work of Thurston and Morgan-Shalen to a compactification of the Hitchin component whose boundary points are described by actions of the fundamental group of the surface on a building. In this talk, we offer a new point of view for the Parreau compactification, which is based on certain positivity properties discovered by Fock and Goncharov. Specifically, we use the Fock-Goncharov construction to describe the intersection patterns of apartments in invariant subsets of the building that arises in the boundary of the Hitchin component.
14370	Thursday 10/4 2:00 PM	Artem Kotelskiy, Indiana University	Khovanov homology and Bar-Natan's deformation via immersed curves in the 4-punctured sphere. New Window Geometry and Topology Speaker: Artem Kotelskiy, Indiana University Title: Khovanov homology and Bar-Natan's deformation via immersed curves in the 4-punctured sphere. Date: 10/04/2018 Time: 2:00 PM - 2:50 PM Place: C304 Wells Hall We will describe a geometric interpretation of Khovanov homology and its deformation due to Bar-Natan as Lagrangian Floer homology of two immersed curves in the 4-punctured 2-sphere S^2 \ 4pt. We will first start with a certain cobordism theoretic algebra H, where elements are all cobordisms between two trivial tangles )( and = up to certain relations. The central point then will be the observation that this algebra is isomorphic to an algebra B = Fuk(a0, a1), whose elements are generators of wrapped Lagrangian Floer complexes between two arcs a0 and a1 inside S^2 \ 4pt. The results will follow because D structures over H give Khovanov/Bar-Natan invariants for 4-ended tangles, and D structures over B give curves in S^2 \ 4pt (due to [Haiden, Katzarkov, Kontsevich]). The construction is originally inspired by a result of [Hedden, Herald, Hogancamp, Kirk], which embeds 4-ended reduced Khovanov arc algebra (or, equivalently, Bar-Natan dotted cobordism algebra) into the Fukaya category of the 4-punctured sphere. This is joint work with Liam Watson and Claudius Zibrowius.
15379	Thursday 10/11 2:00 PM	Matthew Stoffregen, MIT	An infinite-rank summand of the homology cobordism group New Window Geometry and Topology Speaker: Matthew Stoffregen, MIT Title: An infinite-rank summand of the homology cobordism group Date: 10/11/2018 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall This talk explains a generalization of the techniques that Hom introduced to construct an infinite-rank summand of the topologically slice knot concordance group. We generalize Hom's epsilon-invariant to the involutive Heegaard Floer homology constructed by Hendricks-Manolescu. As an application, we see that there is an infinite-rank summand of the homology cobordism group, generated by Seifert spaces. The talk will contain a review of involutive Floer homology. This is joint work with Irving Dai, Jen Hom, and Linh Truong.
15434	Thursday 10/18 2:00 PM	Siddhi Krishna, Boston College	Taut Foliations, Positive 3-Braids, and the L-Space Conjecture New Window Geometry and Topology Speaker: Siddhi Krishna, Boston College Title: Taut Foliations, Positive 3-Braids, and the L-Space Conjecture Date: 10/18/2018 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall The L-Space Conjecture is taking the low-dimensional topology community by storm. It aims to relate seemingly distinct Floer homological, algebraic, and geometric properties of a closed 3-manifold Y. In particular, it predicts a 3-manifold Y isn't "simple" from the perspective of Heegaard-Floer homology if and only if Y admits a taut foliation. The reverse implication was proved by Ozsvath and Szabo. In this talk, we'll present a new theorem supporting the forward implication. Namely, we'll use branched surfaces to build taut foliations for manifolds obtained by surgery on positive 3-braid closures. As an example, we'll construct taut foliations in every non-L-space obtained by surgery along the P(-2,3,7) pretzel knot. No background in Heegaard-Floer or foliation theories will be assumed.
16445	Thursday 10/18 3:10 PM	Min Hoon Kim, KIAS	Freely slice good boundary links New Window Geometry and Topology Speaker: Min Hoon Kim, KIAS Title: Freely slice good boundary links Date: 10/18/2018 Time: 3:10 PM - 4:00 PM Place: C304 Wells Hall No abstract available.
15386	Thursday 10/25 2:00 PM	William Worden, Rice University	TBA New Window Geometry and Topology Speaker: William Worden, Rice University Title: TBA Date: 10/25/2018 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall No abstract available.
15387	Thursday 11/1 2:00 PM	Yuanqi Wang	TBA New Window Geometry and Topology Speaker: Yuanqi Wang Title: TBA Date: 11/01/2018 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall No abstract available.
13346	Thursday 11/8 2:00 PM	Jonathan Campbell, Vanderbilt University	TBA New Window Geometry and Topology Speaker: Jonathan Campbell, Vanderbilt University Title: TBA Date: 11/08/2018 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall No abstract available.
14374	Thursday 11/15 2:00 PM	Ian Zemke, Princeton University	TBA New Window Geometry and Topology Speaker: Ian Zemke, Princeton University Title: TBA Date: 11/15/2018 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall No abstract available.
15380	Thursday 11/29 2:00 PM	Dominic Culver, University of Illinois Urbana-Champaign	TBA New Window Geometry and Topology Speaker: Dominic Culver, University of Illinois Urbana-Champaign Title: TBA Date: 11/29/2018 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall No abstract available.
15397	Thursday 12/6 2:00 PM	Lev Tovstopyat-Nelip , Boston College	TBA New Window Geometry and Topology Speaker: Lev Tovstopyat-Nelip , Boston College Title: TBA Date: 12/06/2018 Time: 2:00 PM - 2:50 PM Place: C304 Wells Hall No abstract available.

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C212 Wells Hall
East Lansing, MI 48824
Phone: (517) 353-0844
Fax: (517) 432-1562

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