Algebraic Topology and Category Theory

Proseminar — Winter 2011

Time and Place: Tuesdays and Thursdays 1:30-3:00 in Eckhart Room 203. Talks will be in the fields of
topology, category theory, and their intersection.

Audience: Graduate students, mostly in their second year or higher, with an interest in algebraic topology and/or category theory. Faculty interested in these topics will also attend. Talks will be contributed by everyone.

Email List: http://zaphod.uchicago.edu:8080/mailman/listinfo/topology (also used for the topology/category theory seminar).

Schedule

Tues, Jan 4: Organizational meeting

Thurs, Jan 6: Quantum invariants of 3-manifolds (Evan Jenkins)

Tues, Jan 11: Homotopical categories, model categories, and derived functors (Emily Riehl)

Thurs, Jan 13: Homotopy limits and colimits, and the bar construction(Emily Riehl)

Tues, Jan 18: Cohomology of K(Z/p,n) (Vigleik Angeltveit)

Thurs, Jan 20: Cohomology of K(Z/p,n), continued; Homology of QX (Vigleik Angelveit, John Lind)

Tues, Jan 25: Homology of QX, continued ( John Lind)

Thurs, Jan 27: Bockstein Spectral Sequence (Rolf Hoyer)

Tues, Feb 1: Rothenberg-Steenrod Spectral Sequence (Peter May)

Thurs, Feb 3: Snow day!

Tues, Feb 8: Chromatic Theory (Anna Marie Bohmann)

Thurs, Feb 10: Chromatic Theory (Anna Marie Bohmann)

Tues, Feb 15: Gray Categories (Daniel Schaeppi)

Thurs, Feb 17: Model structures on bicategories (Claire Tomesch)

Tues, Feb 22: Model structure on Gray-categories and homotopy 3-types (Daniel Schaeppi)

Thurs, Feb 24: Eilenberg-Moore spectral sequence (Peter May)

Tues, Mar 1: Localization and Completion (Angelica Osorno)

Thurs, Mar 3: Additivity in K-theory (Mona Merling)

Tues, Mar 8: Topological cyclic homology of F_p (Vigleik Angeltveit)

Thurs, Mar 10: THH and friends (part II) (Vigleik Angeltveit)