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DTSTAMP:20240206T214425
DTSTART;TZID=America/Detroit:20240214T160000
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SUMMARY:Workshop / Seminar:Algebraic Geometry Seminar: Towards a geometric version of the monodromy conjecture
DESCRIPTION:The monodromy conjecture of Denef—Loeser predicts that given a complex polynomial f\, and any pole s of its motivic zeta function\, exp(2πis) is a \"monodromy eigenvalue\" associated to f. In this talk I will formulate a geometric version of the conjecture and elaborate on ongoing work\, starting from the case of Newton non-degenerate hypersurfaces. These are hypersurface singularities whose singularities are governed\, up to a certain extent\, by faces of their Newton polyhedra. The extent to which the former is governed by the latter is a key aspect of the conjecture. If time permits\, I will also sketch a recent pursuit to reduce the conjecture to a setting that is slightly more general than the case of Newton non-degenerate hypersurfaces.
UID:115340-21834474@events.umich.edu
URL:https://events.umich.edu/event/115340
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4096
CONTACT:
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