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SUMMARY:Structures and computations in motivic homotopy theory
DTSTART:20230203T153000
DTEND:20230203T163000
DTSTAMP:20260509T101056Z
UID:7e1317a37bdc493fb2e34ce29a32b8d022dc97821cba482d0bf8e60b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Hana Jia Kong – online only\nSeminar in Mathematics\nAbstrac
 t:\nFor the past 90 years\, a fundamental question in classical homotopy t
 heory is to understand the stable homotopy groups of spheres.  The most 
 modern method to study these groups is to compare them with the ``motivic 
 stable homotopy groups of spheres".  Motivic homotopy theory has its roo
 ts in algebraic geometry.  As a result of the recent advances\, there is
  a reintegration of algebraic topology and algebraic geometry\, with close
  connections to equivariant homotopy theory and number theory.\n\nIn this 
 talk\, I will introduce the classical and motivic stable homotopy categori
 es and the connections between the two.  I will then talk about the rich
  properties and extra structures that are present in the motivic stable ho
 motopy category.  The presence of these extra structures gives new compu
 tational tools that dramatically improve our understanding of the classica
 l stable homotopy groups.  Moreover\, the flow of information can be rev
 ersed as well\, producing new results in motivic stable homotopy theory fo
 r general fields.\n 
LOCATION:https://epfl.zoom.us/j/63957837042
STATUS:CONFIRMED
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