Next Seminar

Large values of the Riemann zeta function in short intervals

Speaker: Louis-Pierre Arguin (New York)

Date: 2020.05.28

Time: 13:00 UTC

Abstract

In a seminal paper in 2012, Fyodorov & Keating proposed a series of conjectures describing the statistics of large values of zeta in short intervals of the critical line. In particular, they relate these statistics to the ones of log-correlated Gaussian fields. In this lecture, I will present recent results that answer many aspects of these conjectures. Connections to problems in number theory will also be discussed.

Supervised Learning between Function Spaces

Speaker: Andrew Stuart (Caltech)

Date: 2020.05.28

Time: 14:00 UTC

Abstract

Consider separable Banach spaces X and Y, and equip X with a probability measure m. Let F: X --> Y be an unknown operator. Given data pairs {x_j,F(x_j)} with {x_j} drawn i.i.d. from m, the goal of supervised learning is to approximate F. The proposed approach is motivated by the recent successes of neural networks and deep learning in addressing this problem in settings where X is a finite dimensional Euclidean space and where Y is either a finite dimensional Euclidean space (regression) or a set of finite cardinality (classification). Algorithms which address the problem for infinite dimensional spaces X and Y have the potential to speed-up large-scale computational tasks arising in science and engineering in which F must be evaluated many times. The talk introduces an overarching approach to this problem and describes three distinct methodologies which are built from this approach. Basic theoretical results are explained and numerical results presented for solution operators arising from elliptic PDEs and from the semigroup generated by Burgers equation.

Log-in Link

The zoom-link is weekly updated before a seminar session and is given below. If you sign into the mailing list you will receive the link on Wednesdays.

Zoom-link:

Meeting-ID:

Please turn off your personal videos to reduce the bandwith used!

Zoom

We use zoom, a simple webinar tool. Zoom is not free, but only the hosts (that's us) need a license. All others can log-in via a link. Before the talk you can find the link on this website. Just click on the link and you will be sent to a webinar. There will be a host with control over the microphones.

Please subscribe to our mailing list for updates about the upcoming seminars and other events.

Guidelines

  • Please log-in with your real name.

  • You can ask questions in the group chat during the talk, and also in voice at the end of the talk (time permitting). Don't hesitate to answer questions posed by others!

  • The time of the seminar is displayed in UTC. Clicking on the link next to the time announcement should indicate the time in your local time zone. For reference, the North American West Coast is at UTC-7 (meaning the time there is the UTC time minus seven hours), the East Coast is at UTC-4, central Europe is at UTC+2, India is at UTC+5.5, and China is at UTC+8.