**Special Colloquium**

**Speaker**: Tomer Schlank (Hebrew University of Jerusalem)

**Title**: Stable homotopy groups, higher algebra and the telescope Conjecture

**Abstract**: Spectra are the homotopy theorist abelian groups, they have a fundamental place in algebraic topology but also appear in arithmetic geometry, differential topology, mathematical physics and symplectic geometry. In a similar vein to the way that abelian groups are the bedrock of algebra and algebraic geometry we can take a similar approach of spectra, I will discuss the picture that emerges and how one can use it to address classical questions about homotopy groups of spheres, algebraic K-theory and cobordism classes.

**Date and Time**: Tuesday, January 23, 4:30 PM

**Location**: 407 Mathematics