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From Ramanujan to K-theory

NUMBER THEORY

April 28, 2021      3:00 pm
Speaker: Frank Calegari - University of Chicago

The Rogers-Ramanujan identity is an equality between a certain “q-series” (given as an infinite sum) and a certain modular form (given as an infinite product). Motivated by ideas from physics,...
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CMSA Math Science Literature Lecture Series

CMSA EVENTS

April 27, 2021      9:00 am
Speaker: Frances Kirwan - University of Oxford

TITLE: Moment maps and the Yang-Mills functional ABSTRACT: In the early 1980s Michael Atiyah and Raoul Bott wrote two influential papers, ‘The Yang-Mills equations over Riemann surfaces’ and ‘The moment map and equivariant...
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Properness of the K-moduli space

HARVARD-MIT ALGEBRAIC GEOMETRY

April 27, 2021      3:00 pm
Speaker: Ziquan Zhuang - MIT

K-stability is an algebraic condition that characterizes the existence of K\"ahler-Einstein metrics on Fano varieties. Recently there has been a lot of work on the construction of the K-moduli space,...
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Dimerization in quantum spin chains with O(n) symmetry

MATHEMATICAL PICTURE LANGUAGE

April 27, 2021      10:00 am
Speaker: Bruno Nachtergaele - University of California Davis

We consider spin-S quantum spin chains with a family of O(2S+1)-invariant nearest-neighbor interactions and discuss the ground state phase diagram of this family of models. Using a graphical representation for...
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