Bernstein—Sato theory in positive characteristic and Frobenius invariant nearby cycles
Date(s) : 08/07/2025 iCal
14h00 - 15h00
I will talk about how to formulate (and outline an idea of a proof of) a positive characteristic analogue of the theorem of Kashiwara and Malgrange about the relationship, in characteristic zero, between the Bernstein-Sato polynomial and the eigenvalues of the monodromy action on nearby cycles. It will give a cohomological explanation for some of the arithmetic phenomena in the Bernstein—Sato theory in positive characteristic. This is a joint work in progress with Eamon Quinlan and Daichi Takeuchi.
Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)
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