Dear fellow grad students and postdocs, I'm hoping to organize a meeting between those of us with interests related in some way to algebraic number theory. If interested, please get in touch by emailing me at falfaisa@math.toronto.edu. Cheers, Faisal

**Speakers:** Jonathan Li, PhD candidate in MIE, joining University of Ottawa;

Sharareh Taghipour, PhD (1T1) and postdoc in MIE, joining Ryerson University;

Vahideh Abedi, PhD candidate in Rotman, joining California State University at Fullerton

**Date: **Thursday June 14

**Time:** 3 p.m.

**Location:** MC310

**UTORG » Grad School Application Seminar**

**Speaker:** Velibor Mišić, (BASc IndE 0T9+PEY, MASc 1T2)

**Date: **Thursday June 21

**Time: **6 p.m.

**Location:** MC310

This summer, we will have running a learning seminar in class field theory (with an emphasis on the local theory). Our main (proposed) resources will be the lectures in the classic “Algebraic Number Theory” of Cassels-Frolich, Serre’s “Local Fields”, Cassels’ “Local Fields”, and the notes of J. Milne.

I figure that the first half of the summer can be spent ramping up on the relevant algebraic number theory, reviewing the theory of local fields, and learning about group cohomology. Then, in the second half we can dive right in to local class field theory.

If you are interested and want to take part, please contact me at “josh.seaton@hotmail.com”. We will have an organisational meeting in the first week of May.

Joshua.

Dear all, James Mracek and myself are organizing a learning seminar on Geometric Invariant Theory in the summer term. GIT (Geometric Invariant Theory) is a powerful technique that was developed by Mumford in the 1960s to construct moduli spaces in algebraic geometry. Since then, GIT has emerged as not only an important tool in algebraic geometry, but also in symplectic geometry and arithmetic geometry. We plan to cover some subset of the following topics: - Different notions of quotients (categorical, good, geometric, etc) - Reductive Group Actions and Classical Invariant Theory (Hilbert's 14th problem, etc) - Linearization of group actions - Stability and numerical criterion for stability (Hilbert-Mumford criterion) - Construction of moduli spaces using GIT (moduli of quiver representations, moduli of genus g curves, etc) - GIT in symplectic geometry (GIT quotient vs symplectic quotient, Kahler/hyperkahler quotients; cf. Mumford Chapter 8) - GIT in arithmetic contexts (abelian schemes) We plan to use the following sources: - Dolgachev: Lectures in Invariant Theory - Mumford/Fogarty/Kirwan: Geometric Invariant Theory - Mukai: An Introduction to Invariants and Moduli I would like to have an organizational meeting for all those who are interested in attending this seminar. Please contact James (james.mracek@utoronto.ca) or myself (kl6@math.toronto.edu) if you are interested in attending so we can set up on potential meeting times. Also please feel free to make comments on choice of topics and sources. Thanks very much, Kevin

Hello All: I would like to invite you all to a reading group in geometry that will be focusing on isoperimetric/diastolic/systolic inequalities. We will be meeting this Friday in the BA6180 at 11a.m. and every subsequent Friday at the same time. This Friday, we will be discussing a short paper by Ivanov and Burago: On asymptotic isoperimetric invariants of tori, by Burago and Ivanov, http://arxiv.org/abs/1005.1392 If you are interested, please attend. In the future, we plan to discuss work such as: Generalizations of the Kolmogorov-Barzdin embedding estimates, by Guth and Gromov, http://arxiv.org/abs/1103.3423 Minimax problems related to cup powers and Steenrod squares, by Guth, arXiv:math/0702066 Volumes of balls in large Riemannian manifolds, by Guth, http://arxiv.org/abs/math/0610212 Overlap Properties of Geometric Expanders, by Gromov et al. http://arxiv.org/abs/1005.1392 Filling length in finitely presentable groups, by Gersten and Riley arXiv:math/0008030 The gallery length filling function and a geometric inequality for filling length, by Gersten and Riley http://journals.cambridge.org/abstract_S0024611505015649 We look forward to having you, Dominic Dotterrer 3rd Year Ph.D. Candidate Department of Mathematics University of Toronto d.dotterrer@gmail.com

Dear Students and Others, With help from my students, in the next semester I will be running the "wClips Seminar", which will be a combination of a class, a seminar, and an experiment. All are invited to join; we will be meeting on Wednesdays at noon at a location that will soon be announced (on the URL below) and the first meeting will take place in the first week of classes, on Wednesday January 11, 2012. The "class" part of this affair is that we will slowly and systematically go over my in-progress joint paper with Zsuzsanna Dancso, "Finite Type Invariants of W-Knotted Objects: From Alexander to Kashiwara and Vergne" (short "WKO", and see http://www.math.toronto.edu/drorbn/papers/WKO/), section by section, lemma by lemma, and covering all necessary prerequisites as they arise (though a certain amount of mathematical maturity will certainly be assumed). Though wClips will not be on the departmental course listing and you cannot take it for credit. The "seminar" component is the usual. Occasionally people other than me will be telling the story. The "experiment" part is that every lecture will be video taped and every blackboard will be photographed and everything will be immediately put on the WKO website, so that at the end we will have along with the paper a "video companion" - series of video clips explaining every bit of it. The paper will be mathematically self-contained, yet in addition every section thereof will include a link/reference to the corresponding clip in its video companion. And every video clip will have its written counterpart in one of the sections of the paper. Feel free to join or follow remotely at http://www.math.toronto.edu/drorbn/papers/WKO/! Also, please let me know if you want to be added to the wClips mailing list. Best, Dror.

Dear Students, On behalf of the Fields Undergraduate Network and the Canadian Mathematical Society's Student Committee, I would like to invite you to four math events that are being held this Friday. Lecture by Professor Craig G. Fraser on the History of Complex Analysis, 10:00 a.m. - 12:00 p.m. (James Room) Lunch with Professor Fraser at Richtree (444 Yonge Street), 12:15 p.m. - 2:00 p.m. Panel Discussion on the Role of Mathematics in Industry, 2:30 p.m. - 3:45 p.m. (Windsor Room) CV Writing Workshop (pre-register here, http://cms.math.ca/Events/winter11/student_workshop), 4:00 p.m. - 5:30 p.m. (James Room) All events (except lunch) take place at the Delta Chelsea Hotel, which is located at 33 Gerrard Street. If you'd like to come to lunch, please RSVP by this Thursday at noon to richard.cerezo@alumni.utoronto.ca Lastly, please follow the links below to see posters for the events, Lecutre on the Origins of Complex Analysis Poster (http://www.flickr.com/photos/63196321@N07/6461977219/in/photostream/lightbox/) Panel Discussion and CV Workshop Poster (http://www.flickr.com/photos/63196321@N07/6461976291/in/photostream/lightbox/) Sincerely, Richard Cerezo richard.cerezo@alumni.utoronto.ca

Dear Math Students,

Next Tuesday Nov. 8, Fields Medalist Stephen Smale will be giving a talk to the mathematics students here, both undergraduate and graduate, in the Adel Sedra Auditorium (BA1160). It will start at 2:10p.m., with refreshments to be served at 2:00p.m. Prof. Smale will be giving an exposition on ‘Smale’s Problems’. This is a compilation of 18 important open problems for 21st-century mathematicians to keep in mind, just like those of Hilbert that were proposed for the 20th century.

For more information on Smale’s Problems, check out:

http://en.wikipedia.org/wiki/Smale’s_problems

http://www6.cityu.edu.hk/ma/people/smale/pap104.pdf

Josh Seaton, U of T Math Union

josh.seaton@utoronto.ca

Hello everyone, Professor Marek Stastna from University of Waterloo will be visiting the Atmospheric Physics Group at the physics department next week and will be the first of the Atmospheric physics Noble seminar series this year. Professor Stastna's talk will be next Monday (September 19) at 4 pm in Mp609 (see below for more info) and we would like to invite you to attend this seminar. Coffee,tee and cookies will be served on Monday at 3:50 in the coffee/printer room on the sixth floor. Best, Ali Mashayek (on behalf of the Atmospheric Physics Noble Committee) Link to the event page: http://www.physics.utoronto.ca/research/atmospheric-physics/atmosp-monday-seminars/internal-gravity-waves Link to Marek's web page: http://www.math.uwaterloo.ca/~mmstastn/Welcome.html Title and abstract:The benefits of high order methods for simulating internal wave dynamics: from the lake scale to bottom boundary layer interactions The presence of a stable density stratification is the fundamental property of both the atmosphere and natural bodies of water on scales ranging from those associated with small-scale turbulence to those large enough so as to be affected by the Earth's rotation. In this talk I will discuss the numerical simulation of stratified fluid dynamics with a focus on internal wave processes. I will describe the benefits of high-order methods, both for purely numerical simulation and for instances where it is coupled with semi-analytical theory to derive new results. In particular I will discuss fully nonlinear trapped waves over topography, the instability of the bottom boundary layer beneath internal solitary waves and the weakly non-hydrostatic dynamics of small to mid-sized lakes such as those typically found on the Canadian Shield. Throughout, I will introduce the necessary technical vocabulary and will attempt to explain the reasons for the various mathematical developments.

I'm organizing a learning seminar for the remainder of the summer in the topology and geometry of 3 dimensional manifolds. It's just something that I would like to know more of, and I think it would be more interesting/fun if I can convince some people to join me. The idea is to start from scratch and get as far as we can in the remaining 2 months. If any of you is interested please email me and I'll set an organizing session as soon as possible. (In fact, if you already have preferred times also send them.) Cheers, Pablo (pablo.carrasco@utoronto.ca)