Algebra and Algebraic Geometry Seminar Fall 2020: Difference between revisions

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I will talk about recent papers with Junwu Tu, Si Li, and Kevin Costello where we give a computable definition of Costello's 2005 invariants and compute some of them. These invariants are associated to a pair (A,s) consisting of a cyclic A∞-algebra and a choice of splitting s of its non-commutative Hodge filtration. They are expected to recover classical Gromov-Witten invariants when A is obtained from the Fukaya category of a symplectic manifold, as well as extend various B-model invariants (solutions of Picard-Fuchs equations, BCOV invariants, B-model FJRW invariants) when A is obtained from the derived category of a manifold or a matrix factorization category.
I will talk about recent papers with Junwu Tu, Si Li, and Kevin Costello where we give a computable definition of Costello's 2005 invariants and compute some of them. These invariants are associated to a pair (A,s) consisting of a cyclic A∞-algebra and a choice of splitting s of its non-commutative Hodge filtration. They are expected to recover classical Gromov-Witten invariants when A is obtained from the Fukaya category of a symplectic manifold, as well as extend various B-model invariants (solutions of Picard-Fuchs equations, BCOV invariants, B-model FJRW invariants) when A is obtained from the derived category of a manifold or a matrix factorization category.
Series of 4 talks at Imperial College.


===Shamgar Gurevich===
===Shamgar Gurevich===

Revision as of 15:43, 13 September 2020

The Virtual Seminar will take place on Fridays at 2:30 pm via Zoom. We will also link to relevant or interesting Zoom talks outside of the seminar.

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).

COVID-19 Update

As a result of Covid-19, the seminar for this semester will be held virtually.

Fall 2020 Schedule

date speaker title host(s)
September 14 Andrei Căldăraru (Madison) Categorical Enumerative Invariants Talk 1/4 in lecture series at Imperial College
September 21 Andrei Căldăraru (Madison) Categorical Enumerative Invariants Talk 2/4 in lecture series at Imperial College
September 28 Andrei Căldăraru (Madison) Categorical Enumerative Invariants Talk 3/4 in lecture series at Imperial College
October 5 Andrei Căldăraru (Madison) Categorical Enumerative Invariants Talk 4/4 in lecture series at Imperial College
October 7 Shamgar Gurevich (Madison) TBD

Abstracts

Andrei Căldăraru

Categorical Enumerative Invariants

I will talk about recent papers with Junwu Tu, Si Li, and Kevin Costello where we give a computable definition of Costello's 2005 invariants and compute some of them. These invariants are associated to a pair (A,s) consisting of a cyclic A∞-algebra and a choice of splitting s of its non-commutative Hodge filtration. They are expected to recover classical Gromov-Witten invariants when A is obtained from the Fukaya category of a symplectic manifold, as well as extend various B-model invariants (solutions of Picard-Fuchs equations, BCOV invariants, B-model FJRW invariants) when A is obtained from the derived category of a manifold or a matrix factorization category.

Shamgar Gurevich

TBD

Talk in Sydney, Australia.