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SUMMARY:Khoa Bang Pham (University of Rennes)
DTSTART:20250528T080000Z
DTEND:20250528T093000Z
DTSTAMP:20260422T155159Z
UID:HKUST-AG/76
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/76/
 ">Motivic Nearby Functors and Recent Developments</a>\nby Khoa Bang Pham (
 University of Rennes) as part of Algebra and Geometry Seminar @ HKUST\n\n\
 nAbstract\nIn the quest for discovering exotic spheres\, Milnor studied th
 e topology of complex hypersurface singularities\, which eventually led to
  the notion of Milnor fibers. Around the same time\, Grothendieck and Deli
 gne globalized this concept to define the nearby and vanishing cycles func
 tors\, which later played a crucial role in the proof of the Weil conjectu
 res. These foundational ideas\, introduced over half a century ago\, have 
 since evolved in various directions. In motivic homotopy theory\, a notabl
 e descendant is the motivic nearby functor\, originally constructed by J. 
 Ayoub. This functor can be regarded as the ``seventh operation'' in the yo
 ga of six-functor formalism developed by Grothendieck’s school\, and it 
 exhibits many remarkable properties. In this talk\, I will introduce the t
 heory of motivic nearby functors and discuss some recent developments.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/76/
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