Quantum Geometry

Speaker: Masoud Khalkhali (Western)

"Combinatorics of Feynman diagrams and quantum field theory IV"

Time: 11:00

Room: MC 108

Colloquium

Speaker: Boris Khesin (Toronto)

"Integrability of pentagram maps and KdV hierarchies"

Time: 15:30

Room: MC 108

We describe pentagram maps on polygons in any dimension, which extend R.Schwartz's definition of the 2D pentagram map. Many of those maps turn out to be discrete integrable dynamical systems, while the corresponding continuous limits of such maps coincide with equations of the KdV hierarchy, generalizing the Boussinesq equation in 2D. We discuss their geometry, Lax forms, and interrelations between several recent pentagram generalizations.

Algebraic Geometry

Speaker: Nicole Lemire (Western)

"Lambda operations"

Time: 15:30

Room: WSC 187