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Events for Algebraic Lie Theory

ICS calendar file for Lie Theory

This file can be used to add scheduled events to your calendar, however every program is unique. Below you will find what information is available, but if nothing else works try creating a new calendar in your program and using

http://math.colorado.edu/seminars/ics/alie.ics

as the source.

Thunderbird

The seminar is jointly organized by Richard Green, Florencia Orosz Hunziker, Nat Thiem, Spencer Daugherty and Juan Villarreal . For more information, please contact one of us.

This seminar covers a wide range of topics in Lie theory including (but not limited to) groups of Lie type, Lie algebras, Coxeter groups and their Hecke algebras, algebraic groups, and quantum groups, with emphasis on combinatorial and representation theoretic properties. Further information about upcoming seminars and people in the math department can be found at the CU Math Department Home Page.

Tue, Aug. 4 2:30pm (Math 3…	Robert McRae (Tsinghua University) View Online:https://cuboulder.zoom.us/j/6741562716 X Let $𝔤$ be a finite-dimensional simple Lie algebra and let $Lk(g)$ be the simple affine vertex operator algebra associated to $𝔤$ at a level $k$ such that $k+hinQ>0$ , where $h^{\lor}$ is the dual Coxeter number of $𝔤$ . We explain how to use recent results on braided tensor categories to show that the category of $C1$ -cofinite $Lk(g)$ -modules is a semisimple rigid braided tensor category. For certain levels, $Lk(g)$ is known to be the same as the universal affine vertex operator algebra of $𝔤$ and level $k$ , so in these cases, it follows that all generalized Verma modules induced from finite-dimensional simple $𝔤$ -modules are simple, and the category of $C1$ -cofinite $Lk(g)$ is equivalent to a minor modification of the tensor category of finite-dimensional $𝔤$ -modules. This makes it possible to construct many new vertex operator algebras by extending tensor products of affine vertex operator algebras associated to $𝔤$ at different levels. Semisimplicity of ordinary modules for simple affine vertex operator algebras at positive rational shifted levels Sponsored by the Meyer Fund
Tue, Sep. 1 2:30pm (MATH 3…	Richard Green (CU) X A poset congruence is the analogue for partially ordered sets of a lattice congruence. If a group G acts on the underlying set of a poset P, then we call a poset congruence "G-invariant" if the G-action respects the partition of P into congruence classes. This talk will discuss specific examples where G is a Weyl group of type A or D. This is partly based on joint work with Tianyuan Xu (University of Richmond). Invariant poset congruences
Tue, Sep. 29 2:30pm (MATH 3…	Katrina Barron (Notre Dame University) TBA Sponsored by the Meyer Fund

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Events for Algebraic Lie Theory