October 3, 2019
11:30AM - 12:30PM
Math Tower 154
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2019-10-03 11:30:00
2019-10-03 12:30:00
Homotopy Theory Seminar - Ernie Fontes
Title: Algebraic K-Theory for 2-Categories: + = S-inverse-S
Speaker: Ernie Fontes, OSU
Abstract: For a symmetric monoidal 2-category S, there is a straightforward 2-categorification of Quillen’s S-inverse-S construction for algebraic K-theory due to Gurski–Johnson–Osorno. We build a 2-category Aut(S) which permits a categorified description of algebraic K-theory that generalizes Quillen’s BGL(R)^+ construction and we show that the two approaches agree. As an application, we produce a new model for K_3(R). This talk represents joint work with Niles Johnson and Nick Gurski.
Seminar URL: https://www.asc.ohio-state.edu/fontes.17/homotopy_seminar/
Math Tower 154
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-10-03 11:30:00
2019-10-03 12:30:00
Homotopy Theory Seminar - Ernie Fontes
Title: Algebraic K-Theory for 2-Categories: + = S-inverse-S
Speaker: Ernie Fontes, OSU
Abstract: For a symmetric monoidal 2-category S, there is a straightforward 2-categorification of Quillen’s S-inverse-S construction for algebraic K-theory due to Gurski–Johnson–Osorno. We build a 2-category Aut(S) which permits a categorified description of algebraic K-theory that generalizes Quillen’s BGL(R)^+ construction and we show that the two approaches agree. As an application, we produce a new model for K_3(R). This talk represents joint work with Niles Johnson and Nick Gurski.
Seminar URL: https://www.asc.ohio-state.edu/fontes.17/homotopy_seminar/
Math Tower 154
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Algebraic K-Theory for 2-Categories: + = S-inverse-S
Speaker: Ernie Fontes, OSU
Abstract: For a symmetric monoidal 2-category S, there is a straightforward 2-categorification of Quillen’s S-inverse-S construction for algebraic K-theory due to Gurski–Johnson–Osorno. We build a 2-category Aut(S) which permits a categorified description of algebraic K-theory that generalizes Quillen’s BGL(R)^+ construction and we show that the two approaches agree. As an application, we produce a new model for K_3(R). This talk represents joint work with Niles Johnson and Nick Gurski.
Seminar URL: https://www.asc.ohio-state.edu/fontes.17/homotopy_seminar/
