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SUMMARY:Matthew Morrow (Sorbonne Université)
DTSTART:20210203T143000Z
DTEND:20210203T153000Z
DTSTAMP:20260423T021602Z
UID:Rega/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Rega/9/">Alg
 ebraic K-theory and its current role in arithmetic geometry.</a>\nby Matth
 ew Morrow (Sorbonne Université) as part of RéGA (Réseau des étudiants 
 en Géométrie Algébrique)\n\n\nAbstract\nAlgebraic K-theory is a very ge
 neral cohomology theory for rings\, schemes (and more) which single-handed
 ly captures information about numerous other invariants: algebraic cycles\
 , class groups\, étale cohomology\, special values of zeta functions\, et
 c. The main modern method through which it is studied is to approximate it
  via cyclic and topological cyclic homology\; these latter theories are cl
 oser to de Rham\, crystalline\, and prismatic cohomology. In this talk I w
 ill provide an introduction to algebraic K-theory\, including some of the 
 main historical examples\, before overviewing more recent advances.\n
LOCATION:https://researchseminars.org/talk/Rega/9/
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