Algebra and Number Theory Seminar Winter 2018

Fridays - 11:00 a.m.
McHenry Library Room 4130
For more information please contact Professor Robert Boltje or call the Mathematics Department at 831-459-2969

Friday, January 12, 2018

No seminar


Friday, January 19, 2018

Britta Späth, University of Wuppertal and MSR

About the Inductive Conditions for Global/Local Conjectures: Origins, Motivation, Past and Future

In the last 15 years many global-local conjectures have been reduced to simple groups, more precisely the conjectures hold if all simple groups satisfy a strong version of that conjectures, the corresponding so-called inductive condition. This way the McKay conjecture on characters of odd degree was prove. I will try to explain the origin and the nature of the inductive conditions. At the end I sketch when those conditions could be


Friday, January 26, 2018

Carolina Vallejo-Rodríguez, ICMAT and MSRI

Sylow Normalizers and Galois Action on Characters

In 2004, G. Navarro proposed a refinement of the McKay conjecture: the actions of a particular group of Galois automorphisms on the two character sets involved in the McKay conjecture are permutation isomorphic. The Navarro conjecture implies that the local condition that a Sylow p-subgroup of a finite group G is self-normalizing can be characterized in terms of the character theory of G; an implication that has been recently verified for all primes p. In the same spirit, we restrict our attention to the character theory of the principal p-block of G and analyze how it is connected with the structure of the normalizer of P.

Friday, February 2, 2018

TBA

Friday, February 9, 2018

TBA

Friday, February 16, 2018

TBA

Friday, February 23, 2018

Cameron Franc, University of Sasketchewan

Friday, March 2, 2018

TBA

Friday, March 9, 2018

Ryan Vinroot, College of William and Mary

Friday, March 16, 2018

TBA

Friday, March 23, 2018

TBA