Difference between revisions of "Algebra and Algebraic Geometry Seminar Fall 2018"

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(Fall 2018 Schedule)
(Abstracts)
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canonical one-parameter deformation of Hochschild homology in
 
canonical one-parameter deformation of Hochschild homology in
 
characteristic p.
 
characteristic p.
 +
 +
===Andrei Caldararu===
 +
'''Categorical Gromov-Witten invariants beyond genus 1'''
 +
 +
In a seminal work from 2005 Kevin Costello defined numerical invariants associated to a
 +
Calabi-Yau A-infinity category. These invariants are supposed to generalize the classical
 +
Gromov-Witten invariants (counting curves in a target symplectic manifold) when the category
 +
is taken to be the Fukaya category. In my talk I shall describe some of the ideas involved in Costello's
 +
approach and recent progress (with Junwu Tu) on extending computations of these invariants
 +
past genus 1.

Revision as of 15:38, 17 September 2018

The seminar meets on Fridays at 2:25 pm in room B235.

Here is the schedule for the previous semester, the next semester, and for this semester.

Algebra and Algebraic Geometry Mailing List

  • Please join the AGS Mailing List to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).

Fall 2018 Schedule

date speaker title host(s)
September 7 Daniel Erman Big Polynomial Rings Local
September 14 Akhil Mathew (U Chicago) Kaledin's noncommutative degeneration theorem and topological Hochschild homology Andrei
September 21 Andrei Caldararu Categorical Gromov-Witten invariants beyond genus 1 Local
September 28 Mark Walker (Nebraska) TBD Michael and Daniel
October 5
October 12 Jose Rodriguez (Wisconsin) TBD Local
October 19 Oleksandr Tsymbaliuk (Yale) TBD Paul Terwilliger
October 26
November 2 Behrouz Taji (Notre Dame) TBD Botong Wang
November 9 Juliette Bruce TBD Local
November 16 Wanlin Li TBD Local
November 23 Thanksgiving No Seminar
November 30 Eloísa Grifo (Michigan) TBD Daniel
December 7 Michael Brown TBD Local
December 14 John Wiltshire-Gordon TBD Local

Abstracts

Akhil Mathew

Title: Kaledin's noncommutative degeneration theorem and topological Hochschild homology

For a smooth proper variety over a field of characteristic zero, the Hodge-to-de Rham spectral sequence (relating the cohomology of differential forms to de Rham cohomology) is well-known to degenerate, via Hodge theory. A "noncommutative" version of this theorem has been proved by Kaledin for smooth proper dg categories over a field of characteristic zero, based on the technique of reduction mod p. I will describe a short proof of this theorem using the theory of topological Hochschild homology, which provides a canonical one-parameter deformation of Hochschild homology in characteristic p.

Andrei Caldararu

Categorical Gromov-Witten invariants beyond genus 1

In a seminal work from 2005 Kevin Costello defined numerical invariants associated to a Calabi-Yau A-infinity category. These invariants are supposed to generalize the classical Gromov-Witten invariants (counting curves in a target symplectic manifold) when the category is taken to be the Fukaya category. In my talk I shall describe some of the ideas involved in Costello's approach and recent progress (with Junwu Tu) on extending computations of these invariants past genus 1.