L-manifolds. Are they interesting?
演讲者
时间
2026年04月09日 15:00 至 16:00
地点
A6-101
线上
Zoom 815 762 8413
(BIMSA)
摘要
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.
演讲者介绍
Slava Pimenov于圣彼得堡IFMO取得应用数学/计算机科学硕士学位，在耶鲁大学取得纯数博士学位。2014年至2022年，他在日本、英国、德国和法国担任博士后和访问研究员，2023年加入BIMSA任助理研究员。他目前的研究兴趣包括几何表示理论、超群和非交换代数几何。