Josh Hews, Department of Pure Mathematics, University of Waterloo
"Algorithms for 3-Manifolds"
Ross Willard, Department of Pure Mathematics, University of Waterloo
"Uncountable SIs in residually small varieties in a countable signature, Part V"
Having assembled the pieces, I will attempt to put them together to prove the theorem of McKenzie and Shelah.
MC 5479
Yifan Yang, National Taiwan University
"Equations of Shimura curves"
Shimura curves are generalizations of classical modular curves. Because of the lack of cusps on Shimura curves, there are very few explicit methods for Shimura curves. In this talk, we will introduce Borcherds forms and use them to determine the equations of Shimura curves. The construction of Borcherds forms is done by solving certain integer programming problems. This is a joint work with Jia-Wei Guo.
MC 5403
Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo
"Degree Invariant Functions and Martin's Conjecture"
This week we prove the Delay Lemma which is the essential part of proving that if our degree invariant function is strictly decreasing on a cone then it is constant on a cone.
MC 5417
Jonathan Herman, Department of Pure Mathematics, University of Waterloo
"Weak Moment Maps in Multisymplectic Geometry"
We introduce the notion of a `weak (homotopy) moment map' associated to a Lie algebra action on a multisymplectic manifold.
We use weak moment maps to extend Noether's theorem from Hamiltonian mechanics by exhibiting a correspondence between multisymplectic conserved quantities and continuous symmetries on a multi-Hamiltonian system.
Andrew Swann, Aarhus University
"Toric geometry of G2 metrics"
Jorge Galindo, Universitat Jaume I
"\ell_1-sequences and Arens regularity of the Fourier algebra"
The Fourier algebra A(G) of a locally compact Abelian group G is the algebra of functions on G whose Fourier transforms are integrable on the dual group \widehat{G}. When G is not commutative, the definition of A(G) is more sophisticated and produces an often intriguing Banach Algebra that has interest from the perspectives of Harmonic Analysis and Operator Theory.
Malabika Pramanik, University of British Columbia
"Configurations in sets big and small"
Daniel Pepper, Department of Pure Mathematics, University of Waterloo
In this learning seminar we will study some basic facts about the free probability analogue of the Brownian motion, and about how one can do stochastic integration against the free Brownian motion. The framework used will be the one of a C*-probability space. The main reference followed will be a paper by P. Biane and R. Speicher titled "Stochastic calculus with respect to free Brownian motion and analysis on Wigner space" (in Probability Theory and Related Fields, 1998).
M3 3103
Hongdi Huang, Department of Pure Mathematics, & William Dugan, Department of Combinatorics & Optimization, University of Waterloo
"An introduction to Kreimer's Hopf algebra and Grossman-Larson Hopf algebra"