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Events for Rocky Mountains Rep Theory

ICS calendar file for Rep 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/rmrt.ics

as the source.

Thunderbird

Thu, Oct. 3 2pm (Online)	Gaywalee Yamskulna (llinois State University) View Online:https://cuboulder.zoom.us/j/97927772782 X In this talk, I will explore the algebraic properties of an $ℕ$ -graded vertex algebra associated with Gorenstein rings. Through this framework, I will demonstrate how these vertex algebras offer a natural bridge to the shifted theory of vertex algebras of the CFT type. On the algebraic structure of $N$-Graded Vertex Algebras $V=\oplus_{n=0}^{\infty}V_n$ when $V_0$ is a Gorenstein ring and Their Relation to vertex algebras of CFT-Type.
Thu, Oct. 10 2pm (Online)	Harshit Yadav (University of Alberta) View Online:https://cuboulder.zoom.us/j/97927772782 Rigidity of vertex tensor categories.
Thu, Oct. 24 2pm (Online)	Lea Beneish (University of North Texas) View Online:https://cuboulder.zoom.us/j/97927772782 X We ascertain properties of the algebraic structures in towers of codes, lattices, and vertex operator algebras (VOAs) by studying the associated subobjects fixed by lifts of code automorphisms. In the case of sublattices fixed by subgroups of code automorphisms, we identify replicable functions that occur as quotients of the associated theta functions by suitable eta products. We show that these lattice theta quotients can produce replicable functions not associated to any individual automorphisms. Moreover, we show that the structure of the fixed subcode can induce certain replicable lattice theta quotients and we provide a general code theoretic characterization of order doubling for lifts of code automorphisms to the lattice-VOA. Finally, we prove results on the decompositions of characters of fixed subVOAs. This talk is based on joint work with Jennifer Berg, Eva Goedhart, Hussain M. Kadhem, Allechar Serrano López, and Stephanie Treneer. Replicable functions arising from code-lattice VOAs fixed by automorphisms
Thu, Oct. 31 2pm (Online)	Justine Fasquel (University of Melbourne) View Online:https://cuboulder.zoom.us/j/97927772782 X W-algebras are vertex algebras obtained form quantum Hamiltonian reductions of an affine vertex algebra. These reductions are naturally upgraded to functors from the category of modules over the affine vertex algebras to the category of the modules over the corresponding W-algebras. However, they are difficult to control in general. Recently, two approaches have been developed to improve our understanding of the functors. One consists in spitting the functor into small pieces that are easier to deal with (partial reductions), the other aims to reverse the quantum Hamiltonian reduction procedure (inverse Hamiltonian reductions). In this talk, I will discuss about recent advances in these complementary approaches. The talk is based on recent papers with T. Creutzig, A. Linshaw and S. Nakatsuka and with Z. Fehily, E. Fursman and S. Nakatsuka Partial and inverse Hamiltonian reductions for W-algebras
Thu, Dec. 5 2pm (Online)	Nicola Tarasca (Virginia Commonwealth University) View Online:https://cuboulder.zoom.us/j/97927772782 TBA
Thu, Dec. 12 2pm (Online)	Michael Lau (Université Laval) View Online:https://cuboulder.zoom.us/j/97927772782 TBA

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Events for Rocky Mountains Rep Theory