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This is the webpage for the Graduate Student Homotopy Theory Seminar (GSHTS) at UIUC.

Location and Time

For the Spring 2026 semester, we meet Monday 4-5pm in room 156 of Henry Administration Building.

Talk Schedule

Day Speaker Title and Abstract
02/23/2026
Doron Leonardo Grossman-Naples Spectral Deformation Theory and the Hilbert Stack
The question of representability for moduli problems is a central one in algebraic geometry, and spectral algebraic geometry is no exception to this. The most significant tool we have in this regard is what I call the "spectral deformation of representability". This theory, developed by Jacob Lurie, allows us to use deformation theory to reduce spectral moduli problems to their classical analogues. I will give a general overview of the theory, then describe an application from my own research: the representability of the Hilbert functor of a spectral algebraic space.
03/02/2026
Timmy Feng
03/09/2026
Langwen Hui
03/23/2026
Langwen Hui
03/30/2026
Jiantong Liu
04/06/2026
Vivasvat
04/13/2026
Levi
04/20/2026
Haoran
04/27/2026
05/04/2026

Talks from previous semesters may be found in the archive.