## 20109 GRADUATE MATH COURSE EXAM SCHEDULE

Students, who are not registered in a core course but wish to
take a core course exam for partial
PhD comprehensive exam credit, should let me know immediately!
Thanks.

schedule of this semester's grad course final exams.

Nonetheless, here is the schedule:

MAT 1000HF - Real Analysis I
Friday, December 17, 2010, 9 am - 12 noon, in BN 3,
Upper Small Gymnasium, Benson Building, 320 Huron St., 3rd Floor

MAT 1060HF - PDE I
Friday, December 10, 2010, 10 am - 2 pm, in BA 2135, 40 St. George St.

MAT 1100HF - Algebra I
Tuesday, December 14, 2010, 10 am - 1 pm, in BA 6183, 40 St. George St.

MAT 1300HF - Topology I
Wednesday, December 15, 2010, 2 - 5 pm, in BA 6183, 40 St. George St.

MAT 1723HF - Quantum Mechanics
Monday, December 20, 2010, 9 am - 12 noon, in BR200,
Brennan Hall, St. Michael's College, 81 St. Mary St.

Good luck to all writing!


Please note the following important date:

WEDNESDAY, NOVEMBER 3RD, 2010 - Last date to drop September session
full or half-courses without academic penalty

This is an absolute deadline and dropping after the deadline is problematic.

Hard copies are also in the mailroom.  I will need a copy of the add/drop

(drorbn@math.toronto.edu).

Thanks.

Ida

## Cedric Villani – Fields Medallist – Public Lecture – registration required

------ Forwarded Message
From: Alison Conway <aconway@fields.utoronto.ca>
Date: Thu, 28 Oct 2010 14:28:17 -0400
To: <mwwong@mathstat.yorku.ca>
Cc: Pamela Brittain <pamb@math.utoronto.ca>
Subject: 2010 Fields Medallist CEDRIC VILLANI Public Lecture November 1

Dear Professors Murty and Wong,

Fields will be hosting Cedric Villani's visit to Toronto  including a Public
Lecture on November 1.  As his lecture may be of great interest to your
and students
Please note that as space is limited attendees must register in advance.

With thanks,
Alison

==============================
ANNOUNCEMENT

2010 Fields Medallist, CEDRIC VILLANI will be presenting a Public Lecture
Monday, November 1, 2010 at 5:00 p.m. 'What is the fate of the solar system?
'

Admission is free, but on-line registration is required at
http://www.fields.utoronto.ca/villani

Registration will be open  October 26  but will close once room capacity has
been reached. After on-line registration, you should pick up your tickets
**before 4:45 p.m.** on November 1, Room 1160, Bahen Centre, 40 St. George
Street.

Please note that seating is not reserved.

======================================
Alison E. Conway   | Manager of Scientific Programs
FIELDS INSTITUTE | 222 College St, Toronto, M5T 3J1
=====================================

## Departmental PhD Thesis Exam – Jakub Jasinski

Wednesday, November 10, 2010,  9:00 - 9:50 a.m., in BA 6183, 40 St. George Street

PhD Candidate:  Jakub Jasinski

Thesis Title:   Hrushovski and Ramsey Properties of Classes of Finite Inner Product
Structures, Finite Euclidean Metric Spaces, and Boron Trees
(http://www.math.toronto.edu/jasinski/thesis.pdf)

Thesis Abstract:

We look at two combinatorial properties of classes of finite
structures, as well as related applications to topological dynamics. Using
the Hrushovski property of classes of finite structures -- a finite
extension property of homomorphisms -- we can show the existence of ample
generics. For example, Solecki proved the existence of ample generics in
the context of finite metric spaces that do indeed possess this extension
property. Furthermore, the Ramsey property of Fraisse classes of finite
structures implies that the automorphism group of the Fraisse limit of
this class is extremely amenable, i.e., it possesses a very strong fixed
point property.

Gromov and Milman had shown that the unitary group of the
infinite-dimensional separable Hilbert space is extremely amenable using
non-combinatorial methods. This result encourages a deeper look into
structural Euclidean Ramsey theory, i.e., Euclidean Ramsey theory in which
we colour more than just points. In particular, we look at complete finite
labelled graphs whose vertex sets are subsets of the Hilbert space and
whose labels correspond to the inner products. This leads to a Ramsey
result for linearly ordered metric subspaces of sufficiently orthogonal sets. We also
construct Ramsey and Hrushovski classes of metric spaces corresponding to
spreads used by Matousek and Rodl in their paper on colouring points in
spheres.

The square root of the metric induced by the distance between vertexes in
graphs produces a metric space embeddable in a Euclidean space if and only
if the graph is a metric subgraph of the Cartesian product of three types
of graphs. These three are the half-cube graphs, the so-called cocktail
party graphs, and the Gosset graph. We show that the class of metric
spaces which correspond to half-cube graphs -- metric spaces on sets with
the symmetric difference metric -- satisfies the Hrushovski property up to 3
points but not more. Moreover, the amalgamation in this class can be too
restrictive to permit the Ramsey Property.

Finally, following the work of Fouche we compute the Ramsey degrees of
structures induced by the leaf sets of boron trees. Also, we briefly show
that this class does not satisfy the full Hrushovski property. Fouche's
trees are in fact related to ultrametric spaces, as was observed by Lionel
Nguyen van The. We augment Fouche's concept of orientation so that it
applies to these boron tree structures. The lower bound computation of the
Ramsey degree in this case, turns out to be an asymmetric version of the
Graham-Rothschild theorem. Finally, we extend these structures to oriented
ones, yielding a Ramsey class and a corresponding Fraisse limit whose
automorphism group is extremely amenable.

REFERENCES:
Deza, M.; Laurent, M. Geometry of Cuts and Metrics, Springer (1996).
Fouche, W. L. Symmetries and Ramsey properties of trees, Discrete
Mathematics 197/198 (1999) 325--330.
Fraisse, R. Theory of Relations, Elsevier, (2000) Rev. ed.
Gromov, M.; Milman V.D. A topological application of the isoperimetric
inequality, Amer. J. Math. 105 (1983), 843--854.
Hrushovski, E. Extending partial isomorphisms of graphs, (English summary)
Combinatorica 12 (1992), no. 4, 411--416.
Herwig B.; Lascar, D. Extending partial automorphisms and the profinite
topology on free groups, Trans. Amer. Math. Soc. 352 (1999), 19852021.
Kechris, A. S.; Pestov, V. G.; Todorcevic, S. Fraisse limits, Ramsey
theory, and topological dynamics of automorphism groups, Geom. Funct.
Anal. 15 (2005), no. 1, 106--189.
Kechris, A.; Rosendal, C. Turbulence, Amalgamation, and Generic
automorphisms of Homogeneous Structures, Proc. Lond. Math. Soc. (3) 94
(2007), no. 2, 302--350.
Matousek, J.; Rodl, V. On Ramsey sets in spheres, Journal of Combinatorial
Theory, Series A Volume 70, Issue 1, (April, 1995), Pages 30-44.
Nesetril, J. Ramsey Theory, Handbook of Combinatorics (R. Graham, et al.,
eds.), Elsevier (1995), 1331--1403 (1363).
Nguyen Van The, L. Ramsey degrees of finite ultrametric spaces,
ultrametric Urysohn spaces and dynamics of their isometry groups, European
J. Combin. 30 (2009), no. 4, 934--945.
Solecki, S. Extending partial isometries, Israel J. Math. 150 (2005),
315--332.

Everyone welcome.  Coffee will be served in the Math Lounge before the exam.

announcement, Exam PhD      

## Math Union: Oct 22 Seminar on Mathematical Finance

The Math Union at the University of Toronto invites you to a panel
discussion on mathematical finance. Guests include Prof. Alan White of
Rotman, Prof. Sebastian Jaimungal from the Dept. of Statistics, Prof. Yuri
Lawryshyn from the Dept. of Chemical Engineering and Chad McAlpine, VP of
Quantitative Research at RBC.

No prior experience is needed as we will be focusing on broad topics in the
experts are sure to have an opinion. Come ready with your questions!

Please RSVP on our Facebook page - Math Union Colloquium - Mathematical
Finance

Also see the poster in the link below:

Date- Friday, October 22
Time- 4:30pm
Place- BA1130

Refreshments will be provided



## New Funding Opportunity for Canadian Postdoctoral Fellows in Israel

The Azrieli Foundation is delighted to continue its funding opportunity
for post-doctoral researchers in Israel.

The Azrieli Fellows Program welcomes the best and brightest scholars
from Canada, who wish to undertake postdoctoral research in Israel.
Scholars may pursue research in any field of study. Applicants must be

The fellowships are awarded on the basis of academic excellence.
potential to make cutting-edge contributions to their respective fields.
Aspects of personal merit and leadership abilities are also taken into
consideration.

www.azrielifoundation.org/fellows
<http://www.azrielifoundation.org/fellows> .

Sincerely,

Rochelle Avitan
Program Manager
The Azrieli Fellows Program
Phone: 03-6081466; 054-5608106
Email: rochelle@azrielifoundation.org
<mailto:rochelle@azrielifoundation.org>

## BMO Capital Markets Advanced Research Scholarship program

DEADLINE: NOVEMBER 1, 2010

Below are the details  of the BMO Capital Markets Advanced Research Scholarship
similar, with a focus on any of the following topics;  Advanced Pricing Theory,
Derivative Markets, and Market microstructure and trade execution.

BMO Capital Markets is looking for applications for its annual Advanced Research
Scholarship. The scholarship is funded by the Financial Products Group (FPG), and
supported research topics will be those relevant to FPG activities. Research
proposals are solicited on specific topics that include:

*   Market microstructure and trade execution

Research proposals will be accepted from PhD level candidates in Mathematics,
Finance, or similar. Students in their last year are also encouraged to apply; their
scholarship will be pro-rated for the time they stay at the University. Researchers
whose proposals are accepted will receive an honorarium. Researchers may
additionally be asked to acknowledge FPG and possibly to present the finished paper
at a conference or seminar organized by BMO. Each accepted proposal would receive an
honorarium of CAD \$20,000. Larger and more ambitious proposals that may take more
than one year will also be considered.
Proposal submissions should include:

*   1-page summary proposal
*   Curriculum vitae
*   Relevant previous papers (web-links are acceptable)
*   Letters of reference from their thesis advisors

Interviews will be conducted with all finalists.

Successful applicants are encouraged to check the eligibility of their proposal for
a matching IPS award at the NSERC
website<http://www.nserc-crsng.gc.ca/Students-Etudiants/PG-CS/IPS-BESII_eng.asp>.

The application deadline is November 1, 2010. Applications should be submitted to:

Dr. Dmitri Rubisov
Director, Financial Products
BMO Capital Markets
100 King Street West
3rd Floor Podium
Toronto, ON, M5X 1H3
Electronic submissions are also accepted at
dmitri.rubisov@bmo.com<mailto:dmitri.rubisov@bmo.com>.
Applications submitted after the deadline will not be considered.

deadline, scholarship      

## FREE PUBLIC LECTURE – Statistics in the Headlines

FREE PUBLIC LECTURE
Wednesday, October 20, 2010, 4:00-5:30 pm
Room 2117, Sidney Smith Hall, 100 St George Street, Toronto

Statistics and probability have appeared in major news stories with
greater and greater frequency.  Recent examples include heated political
upcoming mayoral election, the spike in Toronto pedestrian deaths last
January, fascination with the odds of winning huge Lotto Max jackpots,
unexpected outrage about excessive lottery "insider wins", a recent
television documentary about mysterious coincidences, and the surprisingly
high-profile summer controversy about cancelling the long-form census.
This talk will consider such questions and controversies from the
perspective of a statistics professor who conducted numerous media
interviews upon the success of his general-interest book "Struck by
Lightning: The Curious World of Probabilities".

This event is presented in conjunction with the United Nation's designated
"World Statistics Day" (http://unstats.un.org/unsd/wsd/).

Absolutely no mathematics or statistics background is required to attend.



## Upcoming Workshop: Making the Most of Oral Presentations

Description: Whether you are preparing for a graduate seminar, an academic
conference, a job talk or a thesis defence, this workshop is designed to help you
improve your oral presentation skills. Topics discussed will include overcoming
nervousness, structuring your presentation, designing effective visual support and
handling questions.

Place and Time:  Wednesday, October 13,  5:00 pm - 6:30 pm, Bissell Building, 140
St. George St., Room 205

This free workshop is presented by the School of Graduate Studies' Office of English
Language and Writing Support and requires no prior registration to attend.
Complete listings for all upcoming SGS/English Language and Writing Support
Workshops and Non-Credit Courses can be found on our website:
http://www.sgs.utoronto.ca/informationfor/students/english.htm<blocked::blocked::http://www.sgs.utoronto.ca/informationfor/students/english.htm>.
Get Weekly updates on all ELWS workshops and courses by subscribing to our listserv:

http://www.sgs.utoronto.ca/informationfor/students/english/contacts.htm#elwslist<blocked::blocked::http://www.sgs.utoronto.ca/informationfor/students/english/contacts.htm#elwslist>

Reminder:  Registration is now open for our October-November course offerings.


## OGS DEADLINE – WEDNESDAY, OCTOBER 13, 2010

The Ontario Graduate Scholarship has no citizenship restriction,
so most students should consider applying.

Students entering 5th year of PhD studies in 2011-12 can also
apply, unless you have already held 4 years of government
funding, and should seriously consider applying.

An OGS application also allows you to be considered for an
Ontario Graduate Scholarship in Science and Technology, which
are distributed by the department.

The deadline is this Wednesday, October 13th.

The process starts at
https://osap.gov.on.ca/OSAPPortal/en/A-ZListofAid/TCONT003465.html

Students should log-in and apply on-line.  Referees should be
provided with the fillable pdf recommendation.  Original
transcripts are required for all Canadian and American
universities. If the transcripts are not received by
the deadline, I will make copies of transcripts in student
files till the originals are received.  I will provide
certified copies of any foreign transcripts. A hard
copy of the application and all supporting
documents, collected by the applicant in signed, sealed
envelopes, should be brought to my off by 5 p.m. on
Wednesday, October 13th.

If you have any questions, please drop by or e-mail me.

Hope you all have a pleasant Thanksgiving weekend,

Ida