The colloquium is preceded by tea and cookies at 3:30 in MONT 201 and usually followed by dinner with the speaker.

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Title: Theory of matrix weights and convex body domination.

Speaker: Sergei Treil (Brown University)

Faculty Sponsor:Guozhen Lu

Time: Thursday, February 22, 2018 at 4:00 pm

Place: MONT 214Abstract: Weighted estimates with matrix weights appear naturally in theory of stationary random processes and perturbation theory, and gained some new attention recently. After describing some motivations for such weighted estimates, I'll discuss the method of estimating vector-valued singular integral operators by the so called sparse operators. In the scalar case the sparse domination is a recently introduced powerful tool of harmonic analysis, and generalizing it to the vector valued case helps in many problems. Of course, trivial generalization does not work: the target space of our sparse operator is the set of convex-body-valued functions. It looks complicated, but the weighted estimated of such operators is an easy task. As an application we were able to get a new easy proof of the weighted estimates of the vector Calderon-Zygmund operators with matrix Muckenhoupt weights. Some intriguing open problems will also be discussed.

Title: Bernhard Riemann and his moduli space.

Speaker: Lizhen Ji (University of Michigan)

Faculty Sponsor:Damin Wu

Time: Thursday, March 8, 2018 at 4:00 pm

Place: MONT 214Abstract: Though Riemann only published a few papers in his lifetime, he introduced many notions which have had long lasting impact on mathematics. One is the concept of Riemann surfaces, and another is the related notion of moduli space of Riemann surfaces. The road to formulate precisely the moduli space M_g of compact Riemann surfaces of genus g and to understand its meaning is long and complicated, and mathematicians are still working hard to understand its structures and properties from the perspectives of geometry, topology, analysis etc. Its analogy and connection with locally symmetric spaces have provided an effective way to study these problems. In this talk, I will describe some historical aspects which may not be so well-known and some recent results on the interaction between moduli spaces and locally symmetric spaces.

Title: spring break

Speaker:

Time: Thursday, March 15, 2018 at 4:00 pm

Place: MONT 214

Title: TBA

Speaker: Thaleia Zariphopoulou (UT Austin)

Time: Thursday, March 29, 2018 at 4:00 pm

Place: MONT 214

Title: TBA

Speaker: Ronnie Sircar (Princeton University)

Faculty Sponsor:Bin Zhu

Time: Thursday, April 5, 2018 at 4:00 pm

Place: MONT 214

Title: TBA

Speaker: Joe Silverman (Brown University)

Faculty Sponsor:Alvaro Lozano-Robledo

Time: Wednesday, April 11, 2018 at 4:00 pm

Place: MONT 214

Title: Awards Day Talk (date to be confirmed)

Speaker:

Time: Thursday, April 19, 2018 at 4:00 pm

Place: MONT 214

Title: TBA

Speaker: Nicolai Krylov (University of Minnesota)

Faculty Sponsor:Oleksii Mostovyi

Time: Thursday, April 26, 2018 at 4:00 pm

Place: MONT 214

Organizer: Ralf Schiffler