MATH Seminar

Title: Cohomology and support varieties for Cartan Lie superalgebras
Seminar: Algebra
Speaker: Irfan Bagci of University of Georgia
Contact: Skip Garibaldi, skip@mathcs.emory.edu
Date: 2008-11-11 at 4:00PM
Venue: MSC W303
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Abstract: V.~Kac classified finite dimensional simple Lie superalgebras over the field of complex numbers in 1970s. They constitute several series and are divided into two types based on their even part: classical type and Cartan type. Lie superalgebras of Cartan type consists of four series $W(n)$, $S(n)$, $S^{~}(n)$, and $H(n)$. In this talk I will briefly introduce Cartan type Lie superalgebras and then I will show how explicitly one can compute cohomology and support varieties for $W(n)$ and $S(n)$. I will also mention what we have for $H(n)$ and present a new theorem on realizability of support varieties that holds both for classical and Cartan type Lie superalgebras. If I have time I am planning to present some open problems at the end of my talk. The results about $W(n)$ represents joint work with Jonathan Kujawa and Daniel Nakano.