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Deformation Theory Seminar

Wednesday, September 4, 2019 - 3:00pm

Jim Stasheff

University of Pennsylvania

Location

University of Pennsylvania

4C8 DRL

Tensor hierarchy algebras occurred in mathematical physics, especially in extended geometry and gauged supergravity. Physicists have noticed tensor hierarchies present a very deep and intriguing relationship with Leibniz algebras and what are called their infinity enhancements. Work of Sylvain Lavau has shown how any Leibniz algebra gives rise to a differential graded Lie algebra and an associated tensor hierarchy with a corresponding infinity-enhanced Leibniz algebra. Moreover, by a theorem of Getzler, this differential graded Lie algebra canonically induces an L∞-algebra structure (not the obvious one). I will report on work in progress with Lavau to further elucidate and make more accessible to mathematicians these new objects and his procedures. 

Suggestions for future speakers are most welcome.