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The quest of a finite purely quantum group

MATHEMATICAL PICTURE LANGUAGE

October 27, 2020      10:00 am
Speaker: Sébastien Palcoux - Tsinghua University

An important open problem is whether there exists a finite quantum group which cannot be cooked up from (classical) finite groups. A finite purely quantum group would be a finite dimensional Hopf C*-algebra (Kac algebra) K...
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Galois symmetries of the stable homology of integer symplectic groups

HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN

October 22, 2020      4:30 pm
Speaker: Akshay Venkatesh - Institute for Advanced Study

There are many natural sequences of moduli spaces in algebraic geometry whose homology approaches a "limit", despite the fact that the spaces themselves have growing dimension.  If these moduli spaces...
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Self-duality in quantum K-theory

DIFFERENTIAL GEOMETRY

October 20, 2020      8:00 pm
Speaker: Henry Liu - Columbia University

When we upgrade from equivariant cohomology to equivariant K-theory, many important algebraic/geometric tools such as dimensional vanishing become inapplicable in general. I will explain some nice conditions we can impose on K-theory...
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Stringy invariants and toric Artin stacks

HARVARD-MIT ALGEBRAIC GEOMETRY

October 20, 2020      3:00 pm
Speaker: Jeremy Usatine - Brown University

Stringy Hodge numbers are certain generalizations, to the singular setting, of Hodge numbers. Unlike usual Hodge numbers, stringy Hodge numbers are not defined as dimensions of cohomology groups. Nonetheless, an...
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