東京大学大学院数理科学研究科

視聴に際しての注意事項
このページに含まれる映像は自由に視聴することができますが、許可無くコピー・配布などの行為を禁止します。

数理談話会

日時: 2014年6月6日(金) 16:30〜17:30
会場: 東京大学 大学院数理科学研究科 056号室

講演者

Mikhail Kapranov 氏 (Kavli IPMU)


講演題目

Lie algebras from secondary polytopes



講演概要

The secondary polytope of a point configuration in the Euclidean space was introduced by Gelfand, Zelevinsky and the speaker long time ago in order to understand discriminants of multi-variable polynomials. These polytopes have a remarkable factorization (or operadic) property: each face of any secondary polytope is isomorphic to the product of several other secondary polytopes. The talk, based on joint work in progress with M. Kontsevich and Y. Soibelman, will explain how the factorization property can be used to construct Lie algebra-type objects: L¥infty and A¥infty-algebras. These algebras turn out to be related to the problem of deformation of triangulated categories with semiorthogonal decompositions.