Hayley Reid, Department of Pure Mathematics, University of Waterloo
"The Law of Quadratic Reciprocity"
Andrew Putman, University of Notre Dame
"The topology of the moduli space of curves"
The moduli space of curves is a remarkable space with connections to algebraic geometry, complex analysis, differential geometry, and low-dimensional topology. I'll give an elementary introduction to it and discuss some recent work on its topology.
MC 5501
Ben Anderson-Sackaney, Department of Pure Mathematics, University of Waterloo
We will begin discussing Frobenius algebras.
MC 5417
Christopher Hawthorne & Wilson Poulter, Department of Pure Mathematics, University of Waterloo
"NIP XIV"
We continue section 4.2 of Simon's Guide to NIP theories.
MC 5479
Siddhi Pathak, Penn State University
"Convolution of values of the Lerch zeta-function"
Luke MacLean, Department of Pure Mathematics, University of Waterloo
"Kleene's $\mathcal{O}$"
A computable ordinal is one that corresponds to the order type of some computable linear well ordering. It can be shown that these are a subset of the countable ordinals, but there is still an issue on how to name these ordinals. We would like a system of notation that allows us to compare two arbitrary ordinals.
Hongdi Huang, Department of Pure Mathematics, University of Waterloo
"On Hopf Ore Extensions and Zariski Cancellation Problems"
Rahim Moosa, Department of Pure Mathematics, University of Waterloo
"Dynamics on the Berkovich line II"
I will continue to discuss how algebraic dynamics on the affine or projective line extend to the Berkovich line. My aim is still Theorem 4.7 of Jonsson's notes.
MC 5403
Ken Davidson, Department of Pure Mathematics, University of Waterloo
"Interpolation and duality in algebras of multipliers"
Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo
"Topics in G_2 geometry and geometric flows"