From Rotating Needles to Stability of Waves

The Simons Foundation’s mission is to advance the frontiers of research in mathematics and the basic sciences.

Simons Foundation

Registration for this lecture will close at 2 p.m. the day of the event. Review the complete list of entrance requirements below.

Gerald D. Fischbach Auditorium

<h2>This lecture is part of the Waves Presidential Lecture Series in Mathematics and Computer Science.</h2>

Solutions to the wave equation preserve energy, and so, in some sense, they maintain their regularity over time. Nevertheless, there is a paradoxical local smoothing phenomenon: When measured in certain aspects, waves can become significantly smoother in a given region of space and time, particularly if one is willing to work “on average” by ignoring some outlier times. Quantifying this phenomenon has been important in applications related to partial differential equations and mathematical physics and has surprising connections to incidence geometry, combinatorics and even number theory. For instance, there is an unexpected connection to the Kakeya needle problem concerning the smallest area needed to rotate a unit line segment (or needle) 180 degrees on a plane.In this Presidential Lecture, Terence Tao will survey recent and not-so-recent developments in this subject.<a href="https://www.math.ucla.edu/~tao/" target="_blank" data-msys-clicktrack="0" rel="nofollow noopener noreferrer">Tao</a> was born in Adelaide, Australia, in 1975. He has been a professor of mathematics at the University of California, Los Angeles, since 1999, having completed his Ph.D. under Elias Stein at Princeton University in 1996. Tao’s research areas include harmonic analysis, partial differential equations, combinatorics and number theory. He has received many awards, including the Salem Prize in 2000, the Bochner Prize in 2002, the Fields Medal in 2006, a MacArthur Fellowship in 2007, the Waterman Award in 2008, the Nemmers Prize in 2010, the Crafoord Prize in 2012 and the Breakthrough Prize in mathematics in 2015. Tao also holds the James and Carol Collins chair in mathematics at UCLA and is a fellow of the Royal Society, a corresponding member of the Australian Academy of Sciences, a foreign member of the National Academy of Sciences and a member of the American Academy of Arts and Sciences.REGISTRATION REQUIREMENTS<ul><li>You must be 18+ to attend this event</li><li>Registration will close at 2:00 p.m. the day of the event</li><li>Please only register yourself and use your complete first and last name as it appears on your photo ID when filling in the form.</li><li>If you have a guest you would like to bring with you to this event, please send them the link to register so they can sign up on their own.</li></ul>BUILDING ENTRY PROTOCOL<ul><li>Provide valid photo ID</li><li>Present your digital or printed Eventbrite ticket confirmation; make sure it is for the correct event and that the name on it matches your ID.</li><li>Limited seating is available for this in-person event and is on a first-come, first-served basis.</li><li>All attendees must be pre-registered. Walk-in entry will be denied.</li></ul>Please note that by entering the Simons Foundation, you are attesting that you are not experiencing COVID symptoms and are not knowingly positive for COVID.SCHEDULEDoors open: 5:30 p.m. (No entrance before 5:30 p.m.)Lecture: 6:00 p.m. – 7:00 p.m. (Admittance closes at 6:20 p.m.)The Gerald D. Fischbach Auditorium complies with the Americans with Disabilities Act and offers accessible seating to visitors with special access needs.

<a href="https://www.simonsfoundation.org/sf-events/?type=simons-foundation-lectures" target="_blank" data-msys-clicktrack="0" rel="nofollow noopener noreferrer">Presidential Lectures</a> are free public colloquia at the Simons Foundation centered on four main themes: Biology, Physics, Mathematics and Computer Science, and Neuroscience and Autism Science. These curated, high-level scientific talks feature leading scientists and mathematicians and are intended to foster discourse and drive discovery among the broader NYC-area research community. We invite anyone interested in the topic to join us for this weekly lecture series.

Our {communityGuidelinesLink} describe the sort of content we prohibit on Eventbrite. If you suspect an event may be in violation, you can report it to us so we can investigate.

To report other categories of prohibited or illegal content, submit {link}

From Rotating Needles to Stability of Waves

More events from Simons Foundation

Discover more events from Simons Foundation, from Science & Tech to other experiences you might love.

From Rotating Needles to Stability of Waves

More events from Simons Foundation

Discover more events from Simons Foundation, from Science & Tech to other experiences you might love.

You might also like...

Browse more events with different dates, prices, and formats to find your next great experience.