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SUMMARY:Matt Larson (Stanford)
DTSTART;VALUE=DATE-TIME:20221021T190000Z
DTEND;VALUE=DATE-TIME:20221021T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065740Z
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/
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