Algebra Seminar

Speaker: Stefan Gille (Alberta)

"On Rost nilpotence for threefolds"

Time: 10:30

Room: MC 107

After recalling the Rost nilpotence property and its meaning, I will show that for 3-dimensional smooth projective varieties over a field of characteristic 0, one has only 'to care' about 0-cycles. Using the Brown-Gersten-Quillen spectral sequence, one can get one's hands on the zero cycles of a 3-dimensional toric model allowing a proof of Rost nilpotence for such varieties.

Noncommutative Geometry

Speaker: (Western)

"Matrix Integrals IV"

Time: 13:00

Room: MC 108

I shall prove the Harer-Zagier formula and Wigner's semicircle law for random matrices. We shall then move to evaluation of matrix integrals via graphs on surfaces.

Geometry and Combinatorics

Speaker: Ahmed Ashraf (Western)

"Introduction to toric varieties"

Time: 16:00

Room: MC 108

We will introduce equivalent ways to define toric varieties and discuss their relationship.

Noncommutative Geometry

Speaker: Rui Dong (Western)

"The local Index Formula"

Time: 11:00

Room: MC 107

I am going to give a basic definition of Hochschild and cyclic cohomology first, and then I will try to give the local index formula in a more general case, if time is enough, I will give the proof of local index formula for the even case.

Graduate Seminar

Speaker: Andres Fontalvo (Western)

"Introduction to Hopf Algebras"

Time: 13:30

Room: MC 108

Given the category of modules over an algebra, we would like to know when it is a monoidal category with the usual tensor product of vector spaces. This leads to the notion of Hopf algebra.

Algebra Seminar

Speaker: Béatrice Chetard (Western)

"Group cohomology and Steenrod operations "

Time: 14:30

Room: MC 108

I will present detailed calculations of the cohomology rings of several small groups, together with the action of the Steenrod squares on said cohomology rings.