Seminar Calendar
for Graduate Student Analysis events the next 12 months of Sunday, January 1, 2017.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Tuesday, January 24, 2017

Graduate Student Analysis Seminar
4:00 pm   in 131 English Building,  Tuesday, January 24, 2017
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Submitted by compaan2.
(UIUC Math)
Organizational Meeting
Abstract: A brief meeting to schedule speakers for the semester.

Tuesday, January 31, 2017

Graduate Student Analysis Seminar
4:00 pm   in 131 English Building,  Tuesday, January 31, 2017
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Submitted by compaan2.
Erin Compaan   [email] (Erin Compaan)
Well-posedness for the "Good" Boussinesq on the Half Line
Abstract: I'll present some recent results on well-posedness for the "good" Boussinesq equation on the half line at low regularities. The method is one introduced by Erdogan and Tzirakis, which involves extending the problem to the full line and solving it there with Bourgain space methods. A forcing term ensures that the boundary condition is enforced. I'll introduce the method and talk about the estimates required to close the argument. This is joint work with N. Tzirakis.

Tuesday, February 14, 2017

Graduate Student Analysis Seminar
4:00 pm   in 131 English Building,  Tuesday, February 14, 2017
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Submitted by compaan2.
Chris Gartland   [email] (UIUC Math)
Banach Lattices
Abstract: Many classical spaces such as $C(K)$ and $L^p(\mu)$ carry not only a normed linear structure, but also a lattice structure which behaves well with respect to the norm and vector space operations. The abstraction of this structure gives rise to objects known as Banach lattices, and classical theorems from point-set topology and measure theory can be proved in this purely abstract setting. We'll define the category of Banach lattices and concentrate on the specific subcategories of M-spaces and abstract $L^p$-spaces. We'll outline the Kakutani representation theorems for the spaces, in the former case establishing a duality between the category of M-spaces and the category of compact Hausdorff spaces. Nutter Butters will be provided.

Tuesday, February 28, 2017

Graduate Student Analysis Seminar
4:00 pm   in 131 English,  Tuesday, February 28, 2017
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Submitted by compaan2.
Matthew Romney   [email] (UIUC Math)
John's ellipsoid theorem and applications
Abstract: We will discuss and prove a beautiful piece of classical mathematics, a theorem of Fritz John (1948) which characterizes the ellipsoid of maximal volume contained in a convex body in Euclidean space. Among many other applications, it has proven useful in my area of research, quasiconformal mappings.

Tuesday, March 7, 2017

Graduate Student Analysis Seminar
4:00 pm   in 131 English Building,  Tuesday, March 7, 2017
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Submitted by compaan2.
Derek Jung   [email] (UIUC Math)
A variant of Gromov's H\"older equivalence problem for small step Carnot groups
Abstract: This is the second part of a talk I gave last semester in the Graduate Geometry/Topology Seminar. A Carnot group is a Lie group that may be identified with its Lie algebra via the exponential map. This allows one to view a Carnot group as both a sub-Riemannian manifold and a geodesic metric space. It is then natural to ask the following general question: When are two Carnot groups equivalent? In this spirit, Gromov studied the problem of considering for which $k$ and $\alpha$ there exists a locally $\alpha$-H\"older homeomorphism $f:\mathbb{R}^k\to G$. Very little is known about this problem, even for the Heisenberg groups. By tweaking the class of H\"older maps, I will discuss a variant of Gromov's problem for Carnot groups of step at most three. This talk is based on a recently submitted paper. Some knowledge of differential geometry and Lie groups will be helpful.

Tuesday, April 4, 2017

Graduate Student Analysis Seminar
4:00 pm   in 131 English Building,  Tuesday, April 4, 2017
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Submitted by compaan2.
Hadrian Quan   [email] (UIUC Math)
To Be Announced

Tuesday, April 18, 2017

Graduate Student Analysis Seminar
4:00 pm   in 131 English Building,  Tuesday, April 18, 2017
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Submitted by compaan2.
Jooyeon Chung (UIUC Math)
To Be Announced