Peter Teichner
Math 270, Hot Topics Course
Spring 2008, Tu 3:30-5:00 in 35 Evans
Twisted equivariant K-theory and the Verlinde algebra
In this course we will go through papers of Dan Freed, Mike Hopkins and Constantin Teleman.
References include the following
Freed, Hopkins, Teleman, Loop groups and twisted K-theory I, II and III, and Twisted equivariant K-theory with complex coefficients.
Atiyah and Segal, Twisted K-theory and Twisted K-theory and cohomology.
Hohnhold, Stolz, Teichner, From minimal geodesics to super symmetric field theories.
Pressley and Segal, Loop groups
Please let me know of other good references!
Jan. 22: Peter Teichner Introduction
Jan. 29: Manuel Koehler K-theory via Clifford algebras and Bott Periodicity, [HST]
Feb. 5: Alan Tarr Twisted K-theory, [AS]
Feb. 12: Qin Li K-theory of topological groupoids, [FHT I, sec. 2, appendix]
Feb. 19: Martin Olbermann Properties of twisted and equivariant K-theory, [FHT I, sec. 3 and FHT-complex, sec. 4]
Feb. 26: Dmitry Pavlov Computation of twisted equivariant K-theory of a compact Lie group , [FHT I, sec. 1,4 and FHT III, sec. III]
Mar. 4: William Slofstra Compact Lie groups and their representations, holomorphic induction,
Mar. 11: Fei Han Twisted Chern Character, [FHT-complex and AS]
Mar. 18: Kevin Lin Dirac induction and the Dirac family for compact Lie groups,
Apr. 1: Nate Watson Loop groups, central extensions, coadjoint action, [PS]
Apr.8 : Dan Berwick Evans Positive energy representations, holomorphic induction, [PS and FHT III, sec. IV]
Apr. 15: Arturo Prat-Waldron Dirac family for loop groups, [FHT II, sec. 4 and FHT III, sec. V]
Apr. 22: Quingtoa Chen Fusion of representations and WZW-model [FHT III, sec. VI]
Apr. 29: Chris Pries Topological and holomorphic construction of 2-dim. TQFT,
May 6: Constantin Teleman Wrap-up and open problems.