This conference aims to expose graduate students in algebra, geometry, and topology to current research, and provide them with an opportunity to present and discuss their own research. It also intends to provide a forum for graduate students to engage with each other as well as expert faculty members in their areas of research. Most of the talks at the conference will be given by graduate students, with four given by distinguished keynote speakers.
Title: Deforming flat manifolds and flat orbifolds
Abstract: Flat orbifolds (respectively, manifolds) are quotients of Euclidean
space by crystallographic groups (respectively, torsion-free
crystallographic groups). For example, in dimension 2, there are 17
distinct flat orbifolds corresponding to the 17 wallpaper groups, out
of which only 2 are manifolds: the 2-torus and the Klein bottle. In
this talk, I will explain the basic structure of these objects
and describe the moduli space of flat metrics on them, showing that
flat manifolds can always be deformed, while flat orbifolds may be
rigid. I will also describe the boundary of the moduli space; showing
that limits of flat manifolds are flat orbifolds and, conversely, that
every flat orbifold is the limit of flat manifolds. This is joint work
with Andrzej Derdzinski and Paolo Piccione.
Abstract: I will introduce some basic concepts of geometric group theory by exploring the theme of coarse negative curvature in group extensions. After giving the definition of (Gromov) hyperbolic groups and presenting a few remarkable consequences, we'll look at group extensions and consider when they may be hyperbolic. The geometry of a group extension turns out to be tied up in the action of the quotient group (of the extension) on the kernel by outer automorphisms. Examining this outer action will naturally lead us to certain parameter spaces for the kernel, such as the Teichmüller space, curve complex, Outer space, and free factor complex. With this setup I'll describe results of Farb-Mosher, Kent-Leininger, and Hamenstädt characterizing hyperbolic extensions of surface groups, as well as joint work with Taylor on hyperbolicity of free group extensions.
Abstract: I will discuss the philosophy of unlikely intersections in arithmetic and algebraic geometry, and the application of this philosophy to algebraic dynamical systems. I'll focus on the use of dynamical heights and study as an example the dynamical André-Oort conjecture, resolved in joint work with Ghioca, Nguyen, and Tucker.
In addition to the keynote speakers above, the weekend will be filled with 30-minute graduate student presentations. These talks may be expository or on original research, and will help graduate students share and learn exciting mathematics in the subjects of algebra, geometry, and topology. If you would like to give a talk, please submit an abstract and title.
All talks will be held in SERC, located at 1915 N 12th St. For location and parking information see the campus map.
We will be providing participant housing at Morgan Hall on campus. More details to follow...
Getting to Temple by mass transit
SEPTA is the public transportation authority in Philadelphia. They run all the trains, buses, subways, etc.
From Philadelphia Airport:
Follow signs for 'Ground Transportation' and then 'Trains to Center City'. Get on any train and get off at 'Temple University station' (all trains from the airport will stop here). Pay the conductor on board. Tickets cost $8.
From 30th Street Station:
Buy a ticket at one of the ticket counters; tell them you're trying to get to Temple University. Then take one of the following 'Regional Rail' lines and get off at the Temple stop: Chestnut Hill East, Fox Chase, Lansdale/Doylestown, Manayunk/Norristown, Warminster, West Trenton. One quick way to see which line is going to leave for Temple next is using Google maps.
There will be a banquet Saturday night at Ocean Harbor. Here's the menu (v denotes the meal is vegetarian):
Tofu and vegetable soup (v)
Vegetarian spring roll (v)
Asparagus with bamboo shoots (v)
Snowpea spouts with garlic (v)
Crispy fried chicken
Sheng squash with mushroom (v)
Pan seared flounder
Vegetarian fried rice (v)
Note: This schedule is tentative.
Saturday, June 3
Plenary Speaker 1
Graduate student talks (block #1)
Graduate student talks (block #2)
Plenary Speaker 2
Sunday, June 4
Graduate student talks (block #3)
Plenary Speaker 3
Graduate student talks (block #4)
Plenary Speaker 4
Note: The deadline for registration submission is May 11. However, we will give funding priority to participants who register by May 1.
Note: The deadline for title and abstract submission has passed. Abstracts received at this time might be accommodated via a waitlist, but we make no promises.
Websites From Past Years
The following websites include lists of participants and titles/abstracts of talks: