Home /  Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory

Workshop

Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory March 03, 2025 - March 07, 2025
Registration Deadline: March 07, 2025 27 days ago
To apply for Funding you must register by: December 07, 2024 4 months ago
Parent Program: --
Series: Hot Topic, Hot Topic
Location: SLMath: Eisenbud Auditorium, Atrium, Online/Virtual, Front Courtyard, 2nd Floor Deck
Organizers Dubi Kelmer (Boston College), LEAD Amir Mohammadi (University of California, San Diego), Hong Wang (New York University, Courant Institute)
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Description
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In recent years techniques from harmonic analysis viz. projection theorems have found striking applications in finitary analysis on homogenous spaces. Such quantitative results have many potential applications to analytic number theory. This workshop will bring together researchers in these areas to further explore these connections. Download PDF flyer to share with your department, colleagues, or network Bibliography
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To apply for funding, you must register by the funding application deadline displayed above.

All are welcome to apply for funding, including students and recent PhDs. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Mar 03, 2025
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  On values of quadratic forms and effective equidistribution of unipotent flows
Elon Lindenstrauss (The Hebrew University of Jerusalem)
10:30 AM - 11:00 AM
  Morning Break
11:00 AM - 12:00 PM
  Effective equidistribution of semisimple adelic periods and representations of quadratic forms
Andreas Wieser (Institute for Advanced Study)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Curved Kakeya and Nikodym problems
Shaoming Guo (Indiana University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  The Kakeya set conjecture in three dimensions
Joshua Zahl (University of British Columbia)
Mar 04, 2025
Tuesday
09:30 AM - 10:30 AM
  Subconvexity and equidistribution problems for higher-rank L-functions
Paul Nelson (Aarhus University)
10:30 AM - 11:00 AM
  Morning Break
11:00 AM - 12:00 PM
  L-functions and simultaneous equidistribution
Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL))
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Exponential Mixing Via Additive Combinatorics
Osama Khalil (University of Illinois, Chicago)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Finiteness of totally geodesic submanifolds
David Fisher (Rice University)
04:30 PM - 06:20 PM
  Reception
Mar 05, 2025
Wednesday
09:30 AM - 10:30 AM
  Toral endomorphisms and equidistribution
Michael Hochman (The Hebrew University of Jerusalem)
10:30 AM - 10:40 AM
  Group Picture
10:40 AM - 11:00 AM
  Morning Break
11:00 AM - 12:00 PM
  Higher rank Furstenberg slicing
Pablo Shmerkin (University of British Columbia)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Effective equidistribution in homogeneous spaces and restricted projection theorems
Lei Yang (National University of Singapore)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Diophantine analysis of Markoff type surfaces
Peter Sarnak (Princeton University)
Mar 06, 2025
Thursday
09:00 AM - 10:00 AM
  Complex continued fractions and beyond
Seonhee Lim (Seoul National University)
10:00 AM - 10:15 AM
  Morning Break
10:15 AM - 11:15 AM
  Non-abelian Littlewood-Offord theorems
Emmanuel Breuillard (Université de Paris XI)
11:30 AM - 12:30 PM
  Smallest denominators and extreme events
Jens Marklof (University of Bristol)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The Kakeya set conjecture in three dimensions II
Hong Wang (New York University, Courant Institute)
03:00 PM - 03:30 PM
  Afternoon Tea
Mar 07, 2025
Friday
09:30 AM - 10:30 AM
  Simultaneous equidistribution and L-functions
Valentin Blomer (Universität Bonn)
10:30 AM - 11:00 AM
  Morning Break
11:00 AM - 12:00 PM
  Pointwise convergence of polynomial ergodic averages
Sarah Peluse (Stanford University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Triangle groups: From Hilbert modular varieties to complex dynamics
Curtis McMullen (Harvard University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  A Journey Through Normality
Malabika Pramanik (University of British Columbia)