2025 CMS Summer Meeting
Quebec City, June 6 - 9, 2025
Lie Theory: representations and applications
Org: Michael Lau (Université Laval), Alexis Leroux-Lapierre (McGill University) and Théo Pinet (McGill University)
[PDF]
Org: Michael Lau (Université Laval), Alexis Leroux-Lapierre (McGill University) and Théo Pinet (McGill University)
[PDF]
- YULY BILLIG, Carleton University
- THOMAS BITOUN, University of Calgary
- EMILY CLIFF, Université de Sherbrooke
- NOAH FRIESEN, University of Saskatchewan
- ARTEM KALMYKOV, McGill University
- JOEL KAMNITZER, McGill University
- ANTUN MILAS, University at Albany
- CHRISTOPHER RAYMOND, University of Hamburg, Germany
- HENRIQUE ROCHA, Carleton University
AV-modules [PDF]
- THOMAS BITOUN, University of Calgary
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The theory of $AV$-modules emerged as a framework for advancing the representation theory of Lie algebras of vector fields. Initially studied from an algebraic perspective, these modules have recently been explored through a geometric approach. In this talk, we provide an introduction to the theory of AV-modules, presenting key results and discussing recent developments in the field.
- LEONID RYBNIKOV, Universite de Montreal
Bethe suablgebras and wonderful models for toric arrangements [PDF]
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Bethe subalgebras in Yangians are maximal commutative subalgebras responsible for higher integrals of various integrable systems (specifically, XXX Heisenberg chain and its generalizations). We study the natural compactification of the parameter space of quadratic components of Bethe subalgebras in the Yangian of any finite type and show that this compactification is isomorphic to De Concini - Gaiffi projective wonderful model for a root toric arrangement. Conjecturally, this compactification parametrizes all possible degenerations of Bethe subalgebras. We describe explicitly Bethe subalgebras corresponding to boundary points of the compactification. Our main tool is the trigonometric version of the holonomy Lie algebra introduced by Toledano Laredo. This is a joint work with Aleksei Ilin.
- YVAN SAINT-AUBIN, Université de Montréal
- HADI SALMASIAN, University of Ottawa
- CURTIS WENDLANDT, University of Saskatchewan
- MALIHE YOUSOFZADEH, University of Isfahan & IPM
Twisted affine Lie superalgebras and finite weight module theory [PDF]
- HADI SALMASIAN, University of Ottawa
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In this presentation, we talk about finite weight modules over twisted affine Lie superalgebras. We explain how we can characterize the modules using some kind of inductions in both level, critical and nonzero. We then go through the characterization of obtained reduced modules and explain how we can complete the characterization.
- KIRILL ZAYNULLIN, University of Ottawa