Professor Anne Shepler invites you to attend the thesis project defense of Philip Puente on Thursday, March 28th at 12:00 pm in GAB 473. Cookies and coffee will be served in GAB 472 following this event.

"Infinite Complex Reflection Groups"

Abstract:

The infinite complex reflection groups were classified by Popov using the work of Shephard and Todd. Although infinite noncrystallographic reflection groups are merely the complexification of real affine Weyl groups, new groups arise in the crystallographic case from lattices in complex space. But unlike a reflection group built from an invariant lattice in real space, a crystallographic complex reflection group may not necessarily be the semidirect product of its linear and translational parts. We explain Popov's classification and how cohomology is used to determine all possible extensions explicitly.