Invariant differential forms
UNT Graduate Algebra Group
Speaker: Dillon HansonDate: October 29, 2019
Location: GAB 439A
Abstract: For a finite reflection group G and a vector space V over a field of characteristic zero, we consider the G-invariant differential forms. Certainly taking exterior derivatives of invariant polynomials produces invariant differential forms. In 1963, Solomon showed that in fact the algebra of invariant differential forms is freely generated by the first exterior derivatives of basic invariants. In this talk, we provide a proof of Solomon's Theorem as well as a counterexample for the modular case.
Fall 2019 Schedule
September 3 | Invariants of Landweber-Stong reflection groups modulo Frobenius powers | Chelsea Drescher |
September 17 | Group theory qual practice | Thomas Calkin |
September 24 | Introduction to deformation theory | Naomi Krawzik |
October 8 | Classification of graded Hecke algebras | Naomi Krawzik |
October 15 | Classification of graded Hecke algebras | Naomi Krawzik |
October 22 | Group theory qual practice | Dillon Hanson, Naomi Krawzik, Colin Lawson |
October 29 | Invariant differential forms | Dillon Hanson |
November 5 | An introduction to Hochshild cohomology and deformations | Colin Lawson |
November 26 | Sums of three squares along arithmetic progressions | Ethan Malmer |
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