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Workshop

Recent developments in Analytic Number Theory May 01, 2017 - May 05, 2017
Registration Deadline: June 07, 2017 about 7 years ago
To apply for Funding you must register by: February 01, 2017 over 7 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Commons Room
Organizers Tim Browning (University of Bristol), Chantal David (Concordia University), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)
Speaker(s)

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Description
This workshop will be focused on presenting the latest developments in analytic number theory, including (but not restricted to) recent advances in sieve theory, multiplicative number theory, exponential sums, arithmetic statistics, estimates on automorphic forms, and the Hardy-Littlewood circle method.   Group Photo
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. 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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May 01, 2017
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Better than squareroot cancellation for multiplicative functions
Adam Harper (University of Warwick)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Approximate cohomology
Tamar Ziegler (The Hebrew University of Jerusalem)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Subconvex equidistribution of cusp forms
Paul Nelson (ETH Zürich)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Averages of p-torsion in class groups over function fields---good and bad primes
Melanie Wood (Harvard University; University of California, Berkeley)
May 02, 2017
Tuesday
09:30 AM - 10:30 AM
  A Chebotarev density theorem for families of fields, with applications to class groups
Lillian Pierce (Duke University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Applications of Exponential Sums
Will Sawin (ETH Zürich)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Poster Session
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Squarefree values of polynomial discriminants
Manjul Bhargava (Princeton University)
04:30 PM - 06:20 PM
  Reception
May 03, 2017
Wednesday
09:30 AM - 10:30 AM
  Correlations of von Mangoldt and higher order divisor functions
Kaisa Matomäki (University of Turku)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Beyond Expansion and Arithmetic Chaos
Alex Kontorovich (Rutgers University)
May 04, 2017
Thursday
09:30 AM - 10:30 AM
  On integral points on degree four del Pezzo surfaces
Damaris Schindler (Universiteit Utrecht)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  The fifth moment of modular L-functions
Matthew Young (Texas A & M University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The orbit method and analysis of automorphic forms
Akshay Venkatesh (Institute for Advanced Study)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Large gaps between primes in subsets
James Maynard (University of Oxford)
May 05, 2017
Friday
09:30 AM - 10:30 AM
  Arithmetic functions: something old, something new
Paul Pollack (University of Georgia)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Local to global principles in integral circle packings
Elena Fuchs (University of California, Davis)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Bombieri-Vinogradov for general multiplicative functions
Fernando Shao (University of Oxford)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Nested Efficient Congruencing and (non) translation-dilation invariance.
Trevor Wooley (University of Bristol)