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Seminar

Symplectic duality for the Eisenstein Series September 08, 2026 (09:00 AM PDT - 10:00 AM PDT)
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Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Igor Chaban (Columbia University)
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Eisenstein series over a function field counts maps from an algebraic curve to a partial flag variety X. Remarkably, as a function of the spectral parameter, the constant term of the Eisenstein series coincides with the equivariant Euler characteristic of the 3d-mirror (T*X)^. Both expressions admit a natural representation as operator traces on vector spaces. In the case X = P^n, I will describe these spaces and explain why they are isomorphic as modules over a certain algebra.

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