YoVDO

Stable Homotopy Groups, Higher Algebra, and the Telescope Conjecture

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Homotopy Theory Courses Mathematical Physics Courses Algebraic Topology Courses Symplectic Geometry Courses Arithmetic Geometry Courses Differential Topology Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Delve into the fundamental concepts of homotopy theory in this comprehensive lecture on stable homotopy groups, higher algebra, and the telescope conjecture. Explore the central role of spectra in algebraic topology and their applications across various mathematical disciplines. Examine how spectra serve as the homotopy theorist's equivalent of abelian groups, drawing parallels to their foundational role in algebra and algebraic geometry. Gain insights into the study of stable homotopy groups of spheres and discover the emerging picture that arises from this approach. Learn how these concepts can be applied to further understand stable homotopy groups of spheres, as presented by Tomer Schlank from the Hebrew University of Jerusalem in this 1-hour and 12-minute talk at the Institut des Hautes Etudes Scientifiques (IHES).

Syllabus

Tomer Schlank - Stable Homotopy Group, Higher Algebra and the Telescope Conjecture


Taught by

Institut des Hautes Etudes Scientifiques (IHES)

Related Courses

Galois, Grothendieck and Voevodsky - George Shabat
Institute for Advanced Study via YouTube
Artin Reciprocity via Spheres
Fields Institute via YouTube
Real Invariants in Arithmetic Geometry and Theta Series
Fields Institute via YouTube
Is the Universe Geometric or Algebraic? by Minhyong Kim
International Centre for Theoretical Sciences via YouTube
Ecuaciones Diofantinas con Pocas Soluciones - Lecture 4
ICTP Mathematics via YouTube