报告题目：Thick morphisms of supermanifolds and homotopy algebras

报 告 人：Theodore Voronov（University of Manchester）

报告时间：2022年07月29日 16:00-18: 00

报告地点：ZOOM ID：862 062 0549，password：2022

点击链接入会：https://us02web.zoom.us/j/8620620549?pwd=bGhsaG15WjRza2V3ZEN4TzJYZ1FZQT09

报告摘要：Supergeometry can be used as a unifying language for many algebraic and differential-geometric constructions. Particular role here is played by homological vector fields, i.e. odd vector fields Q satisfying Q^2=0. They can be useful for describing “higher” or “homotopy” analogs of Poisson brackets. Recently I discovered a generalization of the notion of a smooth map (called by me “thick morphisms”) giving NONLINEAR pullbacks on smooth functions. “Thick morphisms” can in particular provide L_infinity morphisms for homotopy Poisson structures. There are other interesting connections, e.g. with Fourier integral operators. Thick morphisms also provide a nonlinear analog of classical functional-algebraic duality.

报告人简介：Dr Theodore Voronov is a Professor in Pure Mathematics at the University of Manchester (UK). His research interests are on the crossroads of algebra, differential geometry, topology and mathematical physics; in particular, geometry of supermanifolds and its applications. See more at http://personalpages.manchester.ac.uk/staff/theodore.voronov.