## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Thursday, January 12, 2017 - 1:30 PM EST

**Anthony McCormick, Pure Mathematics, University of Waterloo**

"Algebraic Groups"

My eventual goal in this seminar is to provide some intuition for the tools used in the theory of algebraic groups and their representations. More precisely, I hope that by the end of the term we'll be comfortable with things like Borel/Cartan subalgebras (along with Borel subgroups and maximal tori), roots, weights, Dynkin diagrams, the orbit method and maybe some Lie algebra cohomology. Along the way, I would also like to cover some nice results such as the Borel-Weil-Bott theorem. Towards this end we begin the term with a crash-course in algebraic groups.

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada N2L 3G1

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1