Ohio State nav bar

Homotopy Theory Seminar -- Jun Hou Fung

Homotopy Theory Seminar
November 21, 2019
11:30AM - 12:30PM
MW 154

Date Range
Add to Calendar 2019-11-21 11:30:00 2019-11-21 12:30:00 Homotopy Theory Seminar -- Jun Hou Fung Speaker: Jun Hou Fung (Harvard)   Title: Strict units of commutative ring spectra   Seminar URL: https://www.asc.ohio-state.edu/fontes.17/homotopy_seminar/   Abstract:  Just as an ordinary commutative ring has a multiplicative group of units, a $E_\infty$-ring spectrum $R$ also has a spectrum of units $gl_1 R$, which plays an important role for example in twisted cohomology theories.  However, these spectra are typically very large, and to understand twists by Eilenberg-Mac Lane spaces or to isolate those units that come from geometry, it sometimes suffices to study the space of \emph{strict units} of $R$.  Previously, Hopkins and Lurie have computed the strict units of Morava $E$-theories, but much remains unknown about them in general.   In this talk, I will introduce these strict units and illustrate various methods for computing them for other commutative ring spectra $R$, and describe how these calculations relate to other interesting questions in homotopy theory. MW 154 Department of Mathematics math@osu.edu America/New_York public
Speaker: Jun Hou Fung (Harvard)
 
Title: Strict units of commutative ring spectra
 
 
Abstract:  Just as an ordinary commutative ring has a multiplicative group of units, a $E_\infty$-ring spectrum $R$ also has a spectrum of units $gl_1 R$, which plays an important role for example in twisted cohomology theories.  However, these spectra are typically very large, and to understand twists by Eilenberg-Mac Lane spaces or to isolate those units that come from geometry, it sometimes suffices to study the space of \emph{strict units} of $R$.  Previously, Hopkins and Lurie have computed the strict units of Morava $E$-theories, but much remains unknown about them in general.
 
In this talk, I will introduce these strict units and illustrate various methods for computing them for other commutative ring spectra $R$, and describe how these calculations relate to other interesting questions in homotopy theory.

Events Filters: