David Marker, University of Illinois at Chicago
“Model Theory and Exponentiation”
Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo
“Semiprime rings, cont’d”
Continuing our discussion of prime and semiprimeness: a ring R is semiprime if it has no nilpotent ideals. We’ll relate this to prime rings, and show that if R is semiprime artinian then it satisfies the Artin–Wedderburn theorem.
MC 5403
Anton Mosunov, Department of Pure Mathematics, University of Waterloo
“Modular Curves and Moduli Spaces”
Matt Kennedy, Department of Pure Mathematics, University of Waterloo
“Invariant random subgroups and uniformly recurrent subgroups”
Ignacio Garcia, Pure Math Department, University of Waterloo
“On generalized dimension of self similar sets with overlaps.”
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“Randomness Continued”
Last time we introduced Martin-Lof randomness, and saw that most reals have this prop- erty.
This week, we will give an example of one specific Martin-Lof random real, discuss some of the properties which such reals satisfy, and give another characterization of them.
MC 5403
Tristan Freiberg, Department of Pure Mathematics, University of Waterloo
“The distribution of primes in short intervals.”
Ignacio Garcia, Department of Pure Math, University of Waterloo
“Packing measure and a theorem of Besicovitch”
Packing measures, as well as Hausdorff measures, are used to provide fine information on the size of fractal sets. For many random sets, especially related to Brownian motion, packing measures (rather than Hausdorff measures) provide the right concept to measure the size of the set.
Anton Borissov, Department of Pure Mathematics, University of Waterloo
“Dirac Field”
This week we will discuss fermions. Starting from representations of the Lorentz group and traversing carefully through Clifford algebras and spinors, we will finally arrive at the quantization of the Dirac field.
MC 5403
Andrej Vukovic, Carleton University
“Enumerative Combinatorics and the Geometry of Number”