## Algebraic Number Theory Study Group/Seminar

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

## University of Toronto Operations Research Group Event

I am writing to you on the behalf of University of Toronto Operations Research Group (UTORG). UTORG is a student-run organization located in the Department of Mechanical and Industrial Engineering at the University of Toronto. We organize academic seminars and workshops to serve the interests of the academic community at UofT. Below are the two upcoming UTORG events. Detailed information can be found in the attached document. I would appreciate it if you could forward this posting to your graduate students and others who you think would be interested.

Thank you,

Derya Demirtas

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

## Organizing a study group in “class field theory”

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.

## Learning Seminar in Geometric Invariant Theory

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
(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

## Geometry Reading Group for Graduate Students

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

## The wClips Seminar

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.

## Studc Fields Trip, Dec. 9 – CMS 2011 Winter Meeting

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

## Math Union Talk: November 8th, Stephen Smale

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...@utoronto.ca

## Atmospheric Physics Seminar

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.

## Learning Seminar on 3-Manifolds

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)