Noncommutative Geometry

Speaker: Masoud Khalkhali (Western)

"Random Matrix Theory (II)"

Time: 12:30

Room: MC 106

Homotopy Theory

Speaker: Dinesh Valluri (Western)

"Joins, slices, and limits in quasicategories"

Time: 13:00

Room: MC 107

In this talk we will introduce the notions of join, slice, (co)limits in the context of $\infty$-categories. We will also discuss some basic properties relevant to these constructions.

Noncommutative Geometry

Speaker: Sajad Sadeghi (Western)

"A Scalar Curvature Formula for the Noncommutative 3-Torus"

Time: 14:00

Room: MC 104

This talk is based on my joint paper with Masoud Khalkhali and Ali Moatadelro (arXiv:1610.04740). First I will recall Gilkey’s theorem on asymptotic expansion of heat kernels for the special case of Laplacians. I will also introduce the noncommutatvie 3-torus (NCT3) and then I will conformally perturb the standard volume form on it. Then the corresponding perturbed Laplacian will be discussed, and using Connes’ pseudodifferential calculus, I will define the scalar curvature of NCT3. Finally, introducing a rearrangement lemma I will compute an explicit formula for the scalar curvature of the curved noncommutative 3-torus.