BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Matt Larson (Stanford) DTSTART:20221021T190000Z DTEND:20221021T200000Z DTSTAMP:20260407T214735Z UID:agstanford/99 DESCRIPTION:Title: The local motivic monodromy conjecture for simplicial nondegenerate si ngularities\nby Matt Larson (Stanford) as part of Stanford algebraic g eometry seminar\n\nLecture held in 383-N.\n\nAbstract\nThe monodromy conje cture predicts a relationship between the motivic zeta function of a hyper surface V(f)\, which governs the number of solutions to f = 0 (mod p^n) if f has integer coefficients and p is a sufficiently large prime\, and the eigenvalues of the monodromy action on the cohomology of the Milnor fiber\ , which is a topological invariant of the complex hypersurface. When f is nondegenerate with respect to its Newton polyhedron\, which is true for "g eneric" polynomials\, there are combinatorial formulas for both the motivi c zeta function and the eigenvalue of monodromy. I will describe recent re sults (joint with S. Payne and A. Stapledon) which prove a version of the monodromy conjecture for nondegenerate polynomials which have a simplicial Newton polyhedron.\n LOCATION:https://researchseminars.org/talk/agstanford/99/ END:VEVENT END:VCALENDAR