L-manifolds. Are they interesting?
Organizers
Speaker
Time
Thursday, April 9, 2026 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 815 762 8413
(BIMSA)
Abstract
The notion of a Frobenius manifold appears in relation to various topics in algebraic and analytic geometry, such and quantum cohomology, deformation of meromorphic connections, unfolding of singularities and others. In the local setting the structure of a Frobenius manifold admits two other equivalent descriptions, either as an algebra over a cyclic operad Com-infinity, or alternatively as a (genus zero) cohomological field theory. In his book on Frobenius manifolds Yuri Manin asked a question, what would be the analogous picture if one starts with Lie-infinity algebras instead of Com-infinity. In this talk we will briefly recall the story about the formal Frobenius manifolds and discuss the first steps towards answering Manin's question.
Speaker Intro
I have MSc degree in Applied Math / Computer Science from St. Petersburg IFMO and PhD in pure mathematics from Yale University. From 2014 to 2022 I held postdoctoral and visiting researcher positions in Japan, UK, Germany and France. I've joined BIMSA in 2023.
My current research interests include geometric representation theory, super groups and non-commutative algebraic geometry.