[geometry-ml:03320] MS seminar at Kavli IPMU -- Arkady Vaintrob (U of Oregon) -- May 08, 2018

[Todor Milanov]

Dear all, 

I would like to announce the following Mathematics and String theory seminar at Kavli IPMU. 

Speaker: Arkady Vaintrob	(U of Oregon)
Date:	Tue, May 08, 2018, 13:15 - 14:45
Place:	Seminar Room A

Title:  Cohomological field theories from matrix factorizations

Abstract:
A Cohomological field theory (CohFT) is an algebraic structure 
underlying the properties of Gromov-Witten invariants and quantum 
cohomology. I will describe a CohFT associated with a quasihomogeneous 
hypersurface singularity together with a finite group G of its 
symmetries. The state space of this theory is the equivariant Milnor 
ring of W and the corresponding invariants can be viewed as analogs of 
Gromov-Witten invariants for the non-commutative space associated with 
the pair (W,G). The construction is based on categories of (equivariant) 
matrix factorizations of singularities. The role of the virtual 
fundamental class from the Gromov-Witten theory played by a "fundamental 
matrix factorization" over a certain moduli space. I will present the 
main ingredients of the construction of the CohFT and some recent 
results and applications. The talk is based on joint work with A.Polishchuk.


-----------------------------

Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp