Talk #1 (1:00pm–2:30pm)
Lucia Martin Merchan, University of Waterloo
“A compact closed G2 manifold with b1 = 0”
Francisco Villacis, Department of Pure Mathematics, University of Waterloo
"GIT Quotients, Part II"
I will continue my previous talk on GIT quotients. I will focus on projective GIT quotients and then discuss the Kempf-Ness theorem, which relates the symplectic reduction of smooth complex projective varieties to GIT quotients.
MC 5479
Zoom link: https://uwaterloo.zoom.us/j/94942581597?pwd=cWhzelpQWXBVakkrZUVWVkFhMmV1dz09
Daniel Han, Department of Pure Mathematics, Univesity of Waterloo
"Derived functors and (co)homology theories"
We will give an overview of derived functors and their use to form homological invariants for objects in abelian categories. Using this abstract machinery, we will give rise to group cohomology, sheaf cohomology, and others. Lastly, the Eilenberg-Watts theorem will be presented to give a loose explanation as to why many of these cohomology groups are presented as Ext groups.
MC 5479
Hanming Liu, Department of Pure Mathematics, University of Waterloo
"Morse Homology"
I will talk about the construction of the Morse complex and consequently, Morse homology.
M3 - 4206
Leo Jimenez, Department of Pure Mathematics, University of Waterloo
"Restricted Zilber Trichotomy"
We continue to read Ben Castle’s paper.
MC 5479
Andrew Zucker, Department of Pure Mathematics, University of Waterloo
"Reverse Math VII"
We discuss some results and open problems related to the reverse mathematics of results in structural Ramsey theory.
MC 5403
Arundhathi Krishnan, Munster Technological University, Cork
"Markovianity and the Thompson Monoid F+"
We show that representations of the Thompson monoid F+ yield a large class of unilateral stationary noncommutative Markov processes. As a partial converse, unilateral stationary Markov processes in tensor dilation form (and in particular, in the commutative setting) are shown to yield representations of F+. This is joint work with Claus Koestler and Stephen J. Wills.
MC 5479
Talk #1 (1:00pm - 2:15pm)
Jacques van Wyk, Department of Pure Mathematics, University of Waterloo
"Fundamentals of Elliptic Partial Differential Operators"
Erik Seguin, Department of Pure Mathematics, University of Waterloo
"Haagerup's noncommutative Grothendieck inequality (cont. cont. cont.)"
We will continue^3 to prove things related to and on the subject of the NCG theorem. Possibly we will finish the proof of the theorem this week, and possibly not; we conjecture that no third option exists, but we are unable to prove this claim at present. Time permitting, we may attempt to prove this rigorously; this attempt is unlikely to be successful, veracity of the claim notwithstanding.
Leo Jimenez, Department of Pure Mathematics, University of Waterloo
"Restricted Zilber Trichotomy"
We continue to read Ben Castle’s paper.
MC 5479