Noncommutative Geometry

Speaker: (Western)

"Matrix Integrals 1"

Time: 10:30

Room: MC 107

Matrix integrals play an important role in random matrix theory, 2d quantum gravity, and the topology of moduli spaces of Riemann surfaces. In this first lecture we shall look at a perturbative expansion for matrix integrals via Feynman graphical methods.

Homotopy Theory

Speaker: James Richardson (Western)

"Inductive types (part 2)"

Time: 13:30

Room: MC 107

In this talk we will discuss uniqueness results for inductive types, with particular focus on identity types.

Geometry and Combinatorics

Speaker: Dinesh Valluri (Western)

"Introduction to equivariant Chow groups (part II)"

Time: 16:00

Room: MC 108

In the last talk we introduced Equivariant Chow groups and proved that they are well defined using a certain double fibration argument. In this talk we will present the functoriality of the flat pull backs and proper pushforwards of Equivariant cycles. We will review Grothendieck's axiomatic construction of Chern classes in the classical context and use it to define 'Equivariant Chern classes'. If time permits we will compute some examples of Equivariant Chow groups and a result which allows us to compute such groups just using the Equivariant Chow groups of the maximal torus.

Graduate Seminar

Speaker: Octavian Mitrea (Western)

"Geodesic Convexity"

Time: 13:30

Room: MC 107

The classical notion of convexity of subsets of the Euclidean space metamorphoses into several distinct types of (geodesic) convexity in the more general Riemannian setting , this phenomenon, along with its geometric implications, being the main topic of this talk.

Basic Notions Seminar

Speaker: Martin Pinsonnault (Western)

"The Isoperimetric Inequality"

Time: 15:30

Room: MC 107

The circle is uniquely characterized by the property that among all simple closed plane curves of given length L, the circle of circumference L encloses maximum area. In this talk, we will recount some geometric generalizations and applications of this inequality. We shall also consider various geometric and analytic inequalities closely connected to the isoperimetric inequality, such as Brunn-Minkowski's, Wirtinger's, Poincaré's and Sobolev's inequalities.

Algebra Seminar

Speaker: Karol Szumilo (Western)

"Universal fibrations"

Time: 16:00

Room: MC 107

I will present a potential approach to construction of universal fibrations in the categories of presheaves of infinity-groupoids.