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SUMMARY:BASIC NOTIONS SEMINAR - Topology with Polynomials: Motivic Homotop
 y Theory and Affine Space
DTSTART;VALUE=DATE-TIME:20260129T130000Z
DTEND;VALUE=DATE-TIME:20260129T150000Z
DTSTAMP;VALUE=DATE-TIME:20260419T014838Z
UID:indico-event-11275@ictp.it
DESCRIPTION:\n	Abstract: Motivic homotopy theory applies ideas from topolo
 gy to algebraic varieties by replacing continuous paths with polynomial pa
 ths given by the affine line. We introduce this viewpoint starting from in
 tuitive notions of manifolds and varieties and explain what it means for a
  variety to be \\mathbb{A}^1-contractible. In low dimensions this notion i
 s rigid\, but in dimension three exotic examples appear\, such as the Kora
 s–Russell threefolds. Motivated by the topological characterization of E
 uclidean space\, we discuss a proposed motivic analogue for affine space u
 sing the motivic homotopy type at infinity. This illustrates how motivic h
 omotopy theory provides a new notion of “shape” for polynomial spaces.
 \n\n//indico.ictp.it/event/11275/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL://indico.ictp.it/event/11275/
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