Arithmetic Speculation on a Combinatorial Lemma

Eric Stuckey
Monday, October 14, 2019 - 3:35pm to 4:35pm
Vincent Hall 1

Reflection groups are an object in classical geometry with deep connections to Lie theory, representation theory, algebraic geometry, invariant theory, and combinatorics. The first half of the talk will give a quick introduction to various flavors of reflection groups. In the second half of the talk I will state a lemma about a restricted class of reflection groups, and discuss an idea for how incorporating cyclotomic fields may allow us to remove that restriction.