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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 |
No Talk |
|
| October 26 |
No Talk | |
| November 2 |
Levi |
Parametrized Category Theory and Equivariant Mathematics Abstract: Non-equivariantly, the categories of spaces and spectra admit nice descriptions via certain universal properties. However, the classical notion of stabilization, when applied to (genuine) G-spaces, only gives us naive G-spectra. What is the correct universal description of "G-stabilization"? What even is the correct setting for defining a general "G-stabilization" operation? We will discuss the work of (among others) Cnossen-Lenz-Linskens on generalizing various notions in equivariant homotopy theory via parametrized category theory. |
| November 9 |
Doron |
0-affineness in chromatic homotopy theory Abstract: It is often easier to work with modules over a ring than quasicoherent sheaves over a stack, and that observation is the basis for the theory of 0-affineness. After introducing the notion of nQCoh and n-affineness (due to Stefanich), I will describe some recent results of Balderrama–Davies–Linskens that allow us to deduce 0-affineness for spectral stacks relevant to chromatic homotopy theory. |
| November 16 |
Ea E |
Title TBA Abstract TBA |
| November 30 |
Haoran |
Title TBA Abstract TBA |
| December 7 |
Fredrick |
Title TBA Abstract TBA |
Talks from previous semesters may be found in the archive.