Palace of Catalan Music. Photo by Micha Weber.
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Geometry, Physics, and Representation Theory Seminar
Geometry, Physics, and Representation Theory Seminar
Fall 2025
Fall 2025
Meeting weekly on Thursdays 3:00-4:00pm in 509/511 Lake Hall at Northeastern.
When available, abstracts, slides, and links to recordings can be found by clicking on the entries.
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If you have questions or would like to speak at the seminar, please email do.hoang [at] northeastern.edu.
Organizers: Pablo Boixeda Alvarez, Do Kien Hoang, Iva Halacheva, Sasha Pevzner, Valerio Toledano Laredo.
Abstract: In work of Mathieu and Fernando the modules of the enveloping algebra with finite dimensional weight spaces are understood. These conditions can be translated into a support condition for the associated graded or some singular support condition for some sheaves on G/B. This singular support is given by taking the union of W copies of the conditions for category O.
In work of Kazhdan and Laumon the construct a category by glueing W copies of the category of perverse sheaves on G/U. This category was studied by Bezrukavnikov, Polishchuk and Morton-Ferguson. In particular some subcategory known as Kazhdan-Laumon category O was related to the representation theory of the small quantum group u_q.
In joint work with Morton-Ferguson we relate the Kazhdan-Laumon category O to some subcategory of weight modules. This connection should explain the relation to the representation theory of u_q.
In this talk I will discuss Kazhdan-Laumon’s category O and its connection to weight modules and time permitting the connection to u_q via the joint work with Bezrukavnikov, McBreen and Yun and the the geometry of affine Springer fibers
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Nov 27: (Fall break)
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