MATH Seminar

Title: On a Question of Gross and McMullen
Seminar: Algebra
Speaker: Eva Bayer Fluckinger of EPFL
Contact: David Zureick-Brown,
Date: 2018-10-16 at 4:00PM
Venue: MSC W301
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In a joint work with Lenny Taelman, we characterize the irreducible polynomials that occur as a characteristic polynomial of an isometry of an even, unimodular lattice with given signature, answering a question of Gross and McMullen. It turns out that the criteria are local ones, and that in the case of an irreducible polynomial, one has a local-global principle. This is no longer true for reducible polynomials. The aim of the talk is to describe these results, and give to a criterion for the local-global principle to hold.

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