## Student Number Theory Seminar 2019-20

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10/7/19: Eric Stucky -- *Arithmetic Speculation on a Combinatorial Lemma*

**Abstract:** 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.