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SUMMARY:Ming Hao Quek (Brown University)
DTSTART:20230519T190000Z
DTEND:20230519T200000Z
DTSTAMP:20260407T214440Z
UID:agstanford/105
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/1
 05/">Around the motivic monodromy conjecture for non-degenerate hypersurfa
 ces</a>\nby Ming Hao Quek (Brown University) as part of Stanford algebraic
  geometry seminar\n\nLecture held in Room 383-N.\n\nAbstract\nI will discu
 ss my ongoing effort to comprehend\, from a geometric viewpoint\, the moti
 vic monodromy conjecture for a "generic" complex multivariate polynomial $
 f$\, namely any polynomial $f$ that is non-degenerate with respect to its 
 Newton polyhedron. This conjecture\, due to Igusa and Denef--Loeser\, stat
 es that for every pole $s$ of the motivic zeta function associated to $f$\
 , $\\exp(2\\pi is)$ is a "monodromy eigenvalue" associated to $f$. On the 
 other hand\, the non-degeneracy condition on $f$ ensures that the singular
 ity theory of $f$ is governed\, up to a certain extent\, by faces of the N
 ewton polyhedron of $f$. The extent to which the former is governed by the
  latter is one key aspect of the conjecture\, and will be the main focus o
 f my talk.\n
LOCATION:https://researchseminars.org/talk/agstanford/105/
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