MOTIVIC HOMOTOPY THEORY and APPLICATIONS
2 pm, Lecture Hall 6
Lecture 2: Introduction to motivic homotopy theory
Anand Sawant
TIFR.
06-11-19

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Abstract

Since its inception in the foundational work of Morel and Voevodsky in the 1990's, motivic (or A^1)-homotopy theory has provided a systematic framework to successfully adapt several techniques of algebraic topology to the realm of algebraic geometry by having the affine line A^1 play the role of the unit interval. In the last 20 years, motivic homotopy theory has led to spectacular applications such as Voevodsky’s proof of the Milnor and Bloch-Kato conjectures. In this mini-course, I will introduce motivic homotopy theory and discuss some of its applications with emphasis on algebraic groups.