![]() ![]() Title: Local Noether-Fano Type Inequalities Title: Minimal model program for generalized lc pairs Qualify for the group rate (group name Midwest Topology).Northwestern University Mathematical Calendar Please make your reservation before August 17 in order to Mike Hill (UCLA) will also give the Hayden-Howard lecture on Monday, Sept 10 at 4pm in Room 110 of the Whitehall Classroom Building. Using this t-structure, I will explain how to recover some results of Bhatt-Morrow-Scholze on the relationship between topological periodic cyclic homology of smooth schemes in characteristic p and crystalline cohomology. I will describe new joint work with Thomas Nikolaus, which describes a t-structure on cyclotomic spectra. ![]() For a Lie group G acting on a symplectic manifold M and preserving a pair of Lagrangians, under certain hypotheses not including equivariant transversality we then construct a G-equivariant Lagrangian Floer homology. In this talk we discuss some of the history of equivariant versions of Lagrangian Floer homology. This construction has been an extremely fruitful source of new invariants in symplectic geometry and low-dimensional topology. Floer in the 1980's which associates to a pair of Lagrangian submanifolds in a symplectic manifold M the homology of a graded chain complex with a differential arising from considering solutions to a system of partial differential equations. Lagrangian Floer homology is an invariant introduced (along with other related invariants) by A. We will survey what is known about this group, with an emphasis on the local equivalence methods coming from Pin(2)-equivariant Seiberg-Witten Floer spectra and involutive Heegaard Floer homology.Ĭoffee, bagels, fruit 10:00 – 11:00 Kristen Hendricks (Michigan State)Ī simplicial construction of G-equivariant Lagrangian Floer homology The study of triangulations on manifolds is closely related to understanding the three-dimensional homology cobordism group. This leads to the definition of a family of invariants for principal bundles that detect the number of group reductions associated to characteristic classes that a principal bundle admits.Ĭoffee, fruit 4:00 – 5:00 Ciprian Manolescu (UCLA) By plugging in the correct parameters, we recover several classical theorems. We propose a uniform interpretation of characteristic classes as complete obstructions to the reduction of the structure group of a principal bundle, and to the existence of an equivariant extension of a certain homomorphism defined a priori only on a single fiber. Lunch 2:30 – 3:30 Martina Rovelli (Johns Hopkins)Ĭharacteristic classes as complete obstructions This is joint work with Vigleik Angeltveit, Teena Gerhardt, Mike Hill, Mike Mandell, and Tyler Lawson, in various combinations. This talk will describe some progress in understanding and speculation about the general setting, inspired by work on a relative version of THH that takes C n ring spectra as input. We know much less in the context of infinite compact Lie groups G. The description of multiplicative structures on the equivariant stable category for finite groups G in terms of HHR norms has been very successful, and resulted in an essentially algebraic perspective. This talk will need no prior knowledge of either elliptic cohomology or physics of field theoriesġ1:30 – 12:30 Andrew Blumberg (Texas-Austin) I will explain in this talk a step forward for the case of equivariant elliptic cohomology over the complex numbers by using constructions from supersymmetric field theory as geometric models in joint work with D. ![]() However, in contrast to the plethora of geometric objects that provide representatives for cohomology and K-theory classes, we do not know any geometric objects that provide representatives for elliptic cohomology. ![]() Schedule Saturday, September 8 9:00 – 10:00Ĭoffee, bagels, fruit 10:00 – 11:00 Arnav Tripathy (Harvard)Ī geometric model for complex analytic equivariant elliptic cohomologyĮlliptic cohomology has always been a natural big brother to ordinary cohomology and K-theory. We may still be able to provide some funding. If you are a graduate student or early career researcher and would like to be considered for funding, please apply promptly. University of Kentucky Chem-Phys Building: CP 139 505 Rose St ![]()
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