[geometry-ml:05179] CREST seminars

[Yasuyuki Kawahigashi]

皆様，
CREST オンラインセミナーの次回，次々回講演は以下のようになります．

Speaker: Masaki Natori (the University of Tokyo)
Title: An alternative proof of Bott periodicity theorem using configuration 
spaces and bulk-edge correspondence
Date/Time: 16:00-17:30, Friday, May 26, 2023

Speaker: Yuto Moriwaki (RIKEN)
Title: Bootstrap hypothesis in two-dimension and the operad structure on 
moduli spaces
Date/Time: 16:00-17:30, Friday, June 9, 2023
Abstract: Conformal field theory is believed to be consistent 
(well-defined) if it satisfies the bootstrap equation. This claim is called 
the bootstrap hypothesis and is used, for example, in the numerical 
calculation of critical exponents for the 3-D Ising model. In this talk, we 
will formulate the bootstrap hypothesis mathematically in the 
two-dimensional case and give a proof under certain conditions. The 
consistency of 2d conformal field theory comes down to the representation 
theory of chiral conformal field theory (vertex operator algebra), and the 
important step in the proof is to show that the operad of the moduli spaces 
of punctured Riemann spheres acts topologically on the representation 
category of the vertex operator algebra. From this point of view, the 
bootstrap equation is a generator of a certain groupoid operad, and the 
consistency follows. This result is inspired by Huang-Kong's full field 
algebra, but we believe that our approach makes their result more 
conceptually comprehensible.

Zoom リンクご希望の方は下記ページで登録をお願いします．(リンクは毎回同じですので登録済みの方は 
再登録は不要です．)
https://www.ms.u-tokyo.ac.jp/~yasuyuki/crest-seminar.htm

河東泰之