Paul Cusson, Department of Pure Mathematics, University of Waterloo
"A proof of the Newlander-Nirenberg Theorem"
Yash Singh, Department of Pure Mathematics, University of Waterloo
"Galois theory and the Jugendtraum"
The talk will be a gentle introduction to Galois theory and the problem of abelian extensions of number fields known as Kronecker's Jugendtraum. We also focus on a particular case of this problem which will showcase a remarkable connection with elliptic curves.
MC 5501
Rian Neogi, Combinatorics & Optimization, University of Waterloo
"The Birth of Computation"
In 1928, Hilbert posed the Entscheidungsproblem, which is informally stated as follows: "Given a mathematical statement, is there a well-defined procedure by which one can decide whether the statement is true or false?". This is a natural question for mathematicians to ask. Essentially the question asks whether one can solve mathematical problems in some automatic and structured manner, or must we rely on human insight, wit and intuition?
Catherine Pfaff, Queen's University
"Deformation Spaces, R-Trees, & What Happens When You Iterate a Free Group Automorphism"
Sean Monahan, Department of Pure Mathematics, University of Waterloo
Local structure results and toroidal horospherical varieties
I plan to talk about some local structure results for horospherical varieties, and look at the special case of so-called “toroidal” horospherical varieties. As of right now, this should be the last talk of the semester; we plan to continue next term (possibly at a new time/location).
This seminar will be held jointly online and in person:
Xinyue (Cynthia) Xie & Layth Al-Hellawi, Department of Pure Mathematics, University of Waterloo
"Effectiveness properties of the Walker's Cancellation Theorem - Part IV"
James Houle, Department of Pure Mathematics, University of Waterloo
"Brun's Sieve and it's applications to the Twin Prime Conjecture"
For hundreds, if not thousands of years, people have been trying to work out whether or not the Twin Prime Conjecture is true. However, it wasn't until the early 1900s when Viggo Brun introduced his sieve that real progress towards the conjecture was made. This talk will introduce Brun's Sieve and use it to show some of the earliest steps that were made towards proving the Twin Prime Conjecture.
Dongshu Dai, Department of Pure Mathematics, University of Waterloo
"Tropical Curves and Where to Find Them"
Michael Albanese, Department of Pure Mathematics, University of Waterloo
"Almost Complex Four-Manifolds with no Complex Structure"
Adrian Zahariuc, University of Windsor
"Configurations of points modulo translation"