Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
"Metric compatible connections in dimension 3"
Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo
"Divisors and line bundles, Part III"
In this week's talk, we finally describe the relationship between divisors and line bundles on complex varieties, illustrating it with some explicit examples.
Zoom meeting:
Daren Cheng, Department of Pure Mathematics, University of Waterloo
"The second variation of area of minimal surfaces in four-manifolds"
Nick Manor, Department of Pure Mathematics, University of Waterloo
"Nonunital operator systems and noncommutative convexity"
Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo
"Divisors and line bundles, Part II"
This week, we finish the discussion we started last week on the relationship between divisors and line bundles on complex varieties. We also describe the divisor class groups and the Picard groups of toric varieties.
The seminar will meet on Zoom:
Spencer Gao, Department of Pure Mathematics, University of Waterloo
"Representation of General Linear Group over Finite Field"
This talk aims at discussing the techniques used in finding all the irreducible representations of general linear groups over finite fields. A brief overview of representation theory is also provided, but no such overview is provided for group theory and field theory.
Aidan Patterson, Department of Pure Mathematics, University of Waterloo
"Local Normal Forms for Hamiltonian Actions of Poisson-Lie Groups"
Daniel Perales Anaya, Department of Pure Mathematics, University of Waterloo
"On the anti-commutator of two free random variables"
David McKinnon, Department of Pure Mathematics, University of Waterloo
"Arithmetic Geometry Learning Seminar organisational meeting"
We’re going to study something related to the proof of Fermat’s Last Theorem, having to do with solving Diophantine equations. Come to the first meeting to help us figure out exactly what that will be!
Place: Zoom
Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo
"Divisors and line bundles"
In this talk, we will discuss the relationship between divisors and line bundles on complex varieties. We will, in particular, compare the divisor class group $Cl(X)$ and the Picard group $Pic(X)$ of a complex variety $X$, which classify divisors and line bundles up to equivalence, respectively. We will also give explicit examples and, time permitting, describe $Div(X)$ and $Pic(X)$ in the case where $X$ is a toric variety.