Department of

# Mathematics

Seminar Calendar
for Mathematics Colloquium events the next 2 months of Monday, August 14, 2017.

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events for the
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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
      July 2017             August 2017           September 2017
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1          1  2  3  4  5                   1  2
2  3  4  5  6  7  8    6  7  8  9 10 11 12    3  4  5  6  7  8  9
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30 31


Thursday, August 31, 2017

4:00 pm in 245 Altgeld Hall,Thursday, August 31, 2017

#### Symplectic non-squeezing for the cubic nonlinear Schrodinger equation on the plane

###### Monica Visan (UCLA)

Abstract: A famous theorem of Gromov states that a finite dimensional Hamiltonian flow cannot squeeze a ball inside a cylinder of lesser radius, despite the fact that the ball has finite volume and the cylinder has infinite volume. We will discuss an infinite-dimensional analogue of Gromov's result, in infinite volume. Specifically, we prove that the flow of the cubic NLS in two dimensions cannot squeeze a ball in $L^2$ into a cylinder of lesser radius. This is joint work with R. Killip and X. Zhang.

Thursday, September 7, 2017

4:00 pm in 245 Altgeld Hall,Thursday, September 7, 2017

#### Random groups and surfaces

###### Moon Duchin (Tufts)

Abstract: I'll survey some of the beautiful history of the study of random objects in geometry, topology, and group theory. The focus will be the exchanges between work on random groups and work on random surfaces, including some very recent results and current research topics.

Thursday, September 14, 2017

4:00 pm in 245 Altgeld Hall,Thursday, September 14, 2017

#### Probabilistic and combinatorial methods in the study of prime gaps

###### Kevin Ford (Illinois)

Abstract: We will describe how new bounds for the largest gaps between consecutive primes have utilized tools from several different areas, including number theory (efficient prime detecting sieves), probability (randomized congruence system coverings, concentration arguments) and probabilistic combinatorics (hypergraph covering). In particular, we will outline the recent breakthroughs of the speaker together with Ben Green, Sergei Konyain, James Maynard and Terence Tao. We will also describe new work with Konyagin, Maynard, Carl Pomerance and Tao which provides new bounds on consecutive composite values of integers in other sequences, e.g. polynomial sequences.

Thursday, September 21, 2017

4:00 pm in 245 Altgeld Hall,Thursday, September 21, 2017

#### The Man Who Knew Infinity: the Movie, the Man, and the Mathematics

###### George Andrews (Penn State)

Abstract: In the spring of 2016, the motion picture, The Man Who Knew Infinity, was released. It is now available on DVD. The movie tells the life story of the Indian genius, Ramanujan. In this talk, I hope to start with the trailer from the movie. Then I shall provide a brief discussion of Ramanujan's life with a glimpse of the mathematics contained in his celebrated Lost Notebook (of which Bruce Berndt and I have just concluded preparing the fifth and final volume explicating the many assertion therein). The bulk of the talk will consider the path from the Rogers-Ramanujan identities to current open problems and how computer algebra assists in their study.

Thursday, October 5, 2017

4:00 pm in 245 Altgeld Hall,Thursday, October 5, 2017

#### TBA

###### Marco Gualtieri (Toronto)

Tuesday, October 10, 2017

4:00 pm in 314 Altgeld Hall,Tuesday, October 10, 2017

#### TBA

###### Alexander Kechris (Caltech)

Abstract: The Trjitzinsky Memorial Lectures will be held October 10-12, 2017. A reception will follow the first lecture on October 10 from 5-6 pm in 239 Altgeld Hall.

Wednesday, October 11, 2017

4:00 pm in 245 Altgeld Hall,Wednesday, October 11, 2017

#### TBA

###### Alexander Kechris (Caltech)

Abstract: The Trjitzinsky Memorial Lectures will be held October 10-12, 2017. A reception will follow the first lecture on October 10 from 5-6 pm in 239 Altgeld Hall.

Thursday, October 12, 2017

4:00 pm in 245 Altgeld Hall,Thursday, October 12, 2017

#### TBA

###### Alexander Kechris (Caltech)

Abstract: The Trjitzinsky Memorial Lectures will be held October 10-12, 2017. A reception will follow the first lecture on October 10 from 5-6 pm in 239 Altgeld Hall.