Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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Dinesh Thakur, University of Rochester
“What should be pi, e, zeta(3), Gamma(1/7), if integers are replaced by polynomials?”
We will explain the title and talk about relations between these quantities.
MC 5501
Refreshments will be served in MC 5403 at 3:30 p.m. Everyone is welcome to attend.
Jaspar Wiart, Department of Pure Math, University of Waterloo
“Nuclear and exact C*algebras”
This will be an overview of the two definitions of nuclear and exact C*algberas via com pletely positive maps and exact sequences, and an outline of how the equivalence is established.
MC 5403
Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo
“Algorithmic Randomness: Introduction to Kolmogorov Complexity”
The topic for the Computability Learning Seminar this term will be Algorithmic Random ness. We will be following Nies’s book, Computability and Randomness.
Michael F. Singer North Carolina State University
“Differential Groups and the Gamma Function”
Juan Felipe Carmona, Universidad Antonio Nariño
"Flatness and CMtriviality in strongly minimal theories with a predicate"
Anton Mosunov, Department of Pure Mathematics, University of Waterloo
“Basic definitions and examples in the theory of modular forms”
Anthony McCormick, Pure Math Department, University of Waterloo
“Recent Methods for Computing the Hausdorff Dimension of a SelfSimilar Set”
Blake Madill, Department of Pure Mathematics, University of Waterloo
“On rings graded by semigroups with a unique product property”
Chris Schafhauser, Department of Pure Math, University of Waterloo
“Quasidiagonal Traces and Crossed Products”
M. Ram Murty, Queen’s University
“NEW DIRECTIONS IN SIEVE THEORY”
Ram Murty, Queen’s University
“The theory of Ramanujan expansions”
Patrick Naylor, Pure Mathematics, University of Waterloo
"Semisimplicity and the HopkinsLevitski Theorem"
This semester we'll be meeting weekly to learn more about ring theory, mostly going through Lam's two books  there are many interesting results in those books which will be "good to know". Starting off, we'll aim to learn the HopkinsLevitski Theorem, one of whose (many) consequences is that the descending chain condition implies the ascending chain condition. Everyone is welcome. See you there!
MC 5403
Anton Mosunov, Pure Mathematics, University of Waterloo
"Congruence subgroups and examples of forms that are modular with respect to these subgroups"
This week, we will look at the definition of cusp forms, and consider the most famous example of the cusp form of weight 12, which is the discriminant function. Afterwords, we shall move to the discussion of congruence subgroups, and will look at forms that are modular with respect to particular congruence subgroups.
MC 5479
Jason Bell, Pure Mathematics, University of Waterloo
"The noncommutative Zariski Cancellation Problem"
Mohammad Mahmoud, Pure Mathematics, University of Waterloo
"Algorithmic Randomness: Introduction to Kolmogorov Complexity"
Last time we saw why the Kolmogorov complexity $K$ can be better than the plain complexity $C$ as it is subadditive and complexity doesn't dip. This time we are going to see more properties showing that $K$ matches our intuition. More precisely, (a) Incompressible (in the sense of $K$) strings have only short runs of zeros (i.e. blocks only consisting of zeros), and (b) Zeros and ones occur balancedly.
MC 5403
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca