## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** Twists of stable homotopy theory

**Speaker:** Tasos Moulinos

**Speaker Info:** IAS/Paris 13

**Brief Description:**

**Special Note**:

**Abstract:**

Twisted stable homotopy theory was introduced by C. Douglas in his 2005 PhD thesis, to accomodate a need in Floer homotopy theory, of dealing with infinite-dimensional manifolds that are "non-trivially polarised". Roughly one can think of a twisted spectrum over a fixed topological space B as a global section of a bundle of stable infinity-categories over B, which has fiber the category of spectra. I will talk about recent work developing the theory of twisted spectra from an infinity-categorical perspective. I will describe several ways of thinking about such objects, as well how their ensuing functoriality is determined by being fibered over the Brauer space of the sphere spectrum. I will also mention some examples, both of an elementary nature and some arising from Seiberg-Witten Floer theory. This is joint work with Alice Hedenlund.

**Date:** Monday, February 26, 2024

**Time:** 4:00pm

**Where:** Lunt 104

**Contact Person:** Benjamin Antieau

**Contact email:** antieau@northwestern.edu

**Contact Phone:** 847-491-5544

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