## 談話会・数理科学講演会

担当者 加藤晃史、北山貴裕、辻雄（委員長）、三竹大寿 https://www.ms.u-tokyo.ac.jp/seminar/colloquium/index.html

### 2014年06月06日(金)

16:30-17:30   数理科学研究科棟(駒場) 056号室

お茶&Coffee&お菓子: 16:00～16:30 (コモンルーム)。ඁ

Mikhail Kapranov 氏 (Kavli IPMU)
Lie algebras from secondary polytopes (ENGLISH)
[ 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.