

Undergraduate Network Meeting
October 23, 2010
Bahen Building Room BA 1190, UToronto (map)
Organizers: Richard Cerezo, (mu(at)math.toronto.edu)
and Sergio Da Silva, (sergio.dasilva(at)utoronto.ca)
Faculty Advisor: Matthias Neufang

Confirmed Speakers: Boris Khesin (Toronto), Spyros
Alexakis (Toronto), Maung MinOo (McMaster), Deping Ye (Fields)
Next meeting dates November 27, location TBA

Undergraduate Network includes a series of mathematical talks aimed
at undergraduates, and organized into a network involving the local
universities. We will be stating with trial run of four events for
next year with faculty members as consultants.
Schedule
10:00 a.m. Introduction: Matthias Neufang
Deping Ye, Fields Institute
Invitation to Geometry of Convexity and Quantum States in High
Dimension
11:00 a.m. Break
11:15 a.m. Spyros Alexakis, University of Toronto
Minimal surfaces in hyperbolic 3space and renormalized area
12:00 p.m. Lunch
1:00 p.m. Boris Khesin, University of Toronto
Nondegenerate curves and the Kortwegde Vries equation
1:45 p.m. Break
2:15 p.m. Maung MinOo, McMaster University
The Sign of Curvature
3:00 p.m. Panel Discussion
Abstracts
Deping Ye, Fields Institute
Invitation to Geometry of Convexity and Quantum States in High
Dimension
Spyros Alexakis, University of Toronto
Minimal surfaces in hyperbolic 3space and renormalized area
Boris Khesin, University of Toronto
Nondegenerate curves and the Kortwegde Vries equation
A plane curve is called nondegenerate if it has no inflection
points. How many classes of closed nondegenerate curves exist
on a sphere? We are going to see how this geometric problem, solved
in 1970, reappeared along with its generalizations in the context
of the Kortewegde Vries (KdV) equation. We will also discuss
how the KdV equation can be viewed as the geodesic flow on an
infinitedimensional group.
Maung MinOo, McMaster University
The Sign of Curvature
In this talk I will first introduce the notion of curvature, the
most fundamental invariant in Geometry. I will describe the three
main types of curvatures that Riemannian geometers use: sectional,
Ricci and scalar. The main theme of the talk is then to explore
the significance of the sign of curvature. The message is that
imposing conditions on the curvature has global topological implications.
I will begin with a selected survey of some classical results.
I will then give a rough indication of the basic ideas and techniques
used to establish these results. I will end my talk with a few
open problems that I find interesting.
List of Confirmed Participants as of
October 23, 2010
Full Name 
University/Affiliation 
Aftab, Umar 
University of Waterloo 
Cerezo, Richard 
University of Toronto 
Charlesworth, Ian 
University of Waterloo 
Chi, Hanci 
University of Waterloo 
Chow, Kevin 
University of Waterloo 
Cousins, Gregory 
McMaster University 
da Silva, Sergio 
University of Toronto 
Dranovski, Anne 
University of Toronto 
Fan, Wei 
University of Toronto 
Gerlings, Adam 
McMaster University 
Giannone, Elicia 
University of Toronto 
Ginsberg, Dan 
University of Toronto 
Gold, Nathan 
York University 
Grajo, Ramon 
University of Toronto 
Han, Changho 
University of Toronto 
Jami, Rafshan 
University of Toronto 
Jung, Juno 
University of Waterloo 
Kabir, Ifaz 
University of Waterloo 
Lee, SeungJae 
University of Toronto 
Letang, Kelsey 
University of Toronto 
Li, Qian 
University of Toronto 
McLaughlin, David 
University of Waterloo 
Milcak, Juraj 
University of Toronto 
Neymanov, Tural 
University of Toronto 
Park, Sang Hee 
University of Toronto 
Pistone, Jamie 
University of Toronto 
Rush, Stephen 
University of Guelph 
Shehata, Abdul 
McMaster University 
Song, Danhua 
University of Waterloo 
Sourisseau, Matt 
University of Toronto 
Sun, Sarah 
University of Waterloo 
Tour, Dennis 
McMaster University 
Walton, Laura 
McMaster University 
Yalcinkaya, Eyup 
McMaster University 
Yee, Yohan 
McMaster University 
Yin, Charles 
McMaster University 
Zhang, Hanyu 
University of Waterloo 
Zhu, Ren 
University of Waterloo 
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