Algebra and Algebraic Geometry Seminar Fall 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.

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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.