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Number Theory Seminar

Theta functions and characteristic vectors of integral unimodular lattices

Forrest Thurman

Location:  Hill 525
Date & time: Tuesday, 14 November 2023 at 2:00PM - 3:00PM

Abstract: I will be talking about Elkies' papers "A characterization of the Z^n lattice" and "Lattices and codes with long shadows", which show how to prove some structure results about integral unimodular lattices using theta series and properties of modular forms. The notion of characteristic vectors of an integral unimodular lattice plays a prominent role.

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