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Homotopy Theory Seminar - Bernardo Villarreal

The Golden Hourglass by Craig Schaffer
February 22, 2018
11:30AM - 12:30PM
Math Tower 154

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Add to Calendar 2018-02-22 11:30:00 2018-02-22 12:30:00 Homotopy Theory Seminar - Bernardo Villarreal Title: Classifying Spaces for Commutativity Speaker: Bernardo Villarreal (IUPUI) Abstract: In this talk I will define the space BcomG arising from commuting tuples in G originally presented by A. Adem, F. Cohen and E. Torres. This space sits inside the classifying space BG and I will focus on describing the space BcomG for G=SU(2), U(2) and O(2), via its integral and mod 2 cohomology ring together with its Steenrod algebra. If time permits, for the Lie groups above, I'll describe the homotopy type of the homotopy fiber of the inclusion BcomG into BG, denoted EcomG. This is joint work with O. Antolín and S. Gritschacher. Seminar URL: https://people.math.osu.edu/valenzuelavasquez.2/hts/ Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Classifying Spaces for Commutativity

Speaker: Bernardo Villarreal (IUPUI)

Abstract: In this talk I will define the space BcomG arising from commuting tuples in G originally presented by A. Adem, F. Cohen and E. Torres. This space sits inside the classifying space BG and I will focus on describing the space BcomG for G=SU(2), U(2) and O(2), via its integral and mod 2 cohomology ring together with its Steenrod algebra. If time permits, for the Lie groups above, I'll describe the homotopy type of the homotopy fiber of the inclusion BcomG into BG, denoted EcomG. This is joint work with O. Antolín and S. Gritschacher.

Seminar URL: https://people.math.osu.edu/valenzuelavasquez.2/hts/

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