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

Location and Time

For the Fall 2026 semester, we will meet from 2PM to 3PM at HAB 140 on Mondays. We will have our planning meeting on August 31.

Talk Schedule

Day	Speaker	Title and Abstract
September 14	Langwen	Title: The logarithmic power operation on Morava E-theories Abstract: We will discuss the construction and properties of a "logarithmic" power operation on Morava E-theories, studied by Rezk. If time permits, some applications will also be included.
September 21	Ea E	Title: An Introduction To Algebraic Patterns in Higher Algebra Abstract: This talk aims to provide an example heavy introduction and overview of the basic theory of algebraic patterns. Algebraic patterns provide an elegant framework for encapsulating coherent algebraic and categorical structures, including monoidal structures and various models of higher categories.
September 28	No Speaker
October 5	Vivasvat	'On the strict Picard spectrum of commutative ring spectra' Abstract: Vivasvat will talk about the paper "On the strict Picard spectrum of commutative ring spectra",
October 12	Juhan	Trace Theories and the Universality of THH Abstract: We will discuss functors on Nikolaus' stable cyclic graphs, and laced categories studied by Harpaz-Nikolaus-Saunier, which turns out to be an excellent framework in expanding the idea of THH being the first Goodwillie derivative of K theory. We will also explain its hermitian enhancement, which is to be introduced in the forthcoming work of Harpaz-Nikolaus-Shah.
October 19	Fredrick	Title TBA Abstract TBA
October 26	Jiantong	Title TBA Abstract TBA
November 2	Levi	Title TBA Abstract TBA
November 9	Doron	Title TBA Abstract TBA
November 16	Ea E	Title TBA Abstract TBA
November 30	Haoran	Title TBA Abstract TBA
December 7	Speaker TBD	Title TBA Abstract TBA

Talks from previous semesters may be found in the archive.