Extrema of Logarithmically Correlated Processes, Characteristic Polynomials, and the Riemann Zeta Function
Venue: NSQI Seminar Room, G05, Ground Floor, The Bristol Centre for Nanoscience and Quantum Information (NSQI), Tyndall Avenue, Bristol BS8 1FD
Sponsored by: Heilbronn Institute for Mathematical Research
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Programme
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Monday 9 May 2016
08:30-09:00: Registration
Session 1
09:00-10:00 – Nina Snaith: Introduction to Riemann zeta and characteristic polynomials.
10:00-10:30 – Break
10:30-11:15 – Jon Keating: Extreme values of Riemann zeta in finite intervals and RMT.
11:15-11:45 – Christopher Hughes: Extreme values of Riemann zeta over (0,T).
11:45-15:00 – Work in groups + lunch
Session 2
15:00-16.00 – David Belius: Free energy and entropy of the CUE characteristic polynomial.
16:00-16:30 – Break
16:30-17:15 – Adam Harper: Log-correlated processes and number theory.
17:15-17:45 – Christian Webb: Log correlated Gaussian Fields and log-gases
Tuesday 10 May 2016
Session 1
09:00-10:00 – Elliot Paquette: The correction term for the maximum of the CUE characteristic polynomial.
10:00-10:30 – Break
10:30-11:15 – Boris Khoruzhenko: Fractional Brownian motion with Hurst index H= 0 and the Gaussian Unitary Ensemble.
11:15-11:45 – Nick Simm: On Maxima of GUE characteristic polynomials.
11:45-15:00 – Work in groups + lunch
Session 2
15:00-16.00 – Dmitry Ostrovsky: Theory of Barnes beta probability distributions.
16:00-16:30 – Break
16:30-17:15 – Pierre Le Doussal: Extrema of log-correlated fields: duality and freezing, moments of their position, and applications.
17:15-17:45 – Alberto Rosso: Extreme value statistics of 2D Gaussian free field: effect of finite domains.
Wednesday 11 May 2016
Session 1
09:00-10.00 – Nathanael Berestycki: Introduction to Gaussian multiplicative chaos.
10:00-10:30 – Break
10:30-11:15 – Rémi Rhodes: Freezing for log-correlated fields.
11:15-11:45 – Eero Saksman: Multiplicative chaos measures for a random model of the Riemann zeta function.
11:45-15:00 – Work in groups + lunch
Session 2
15:00-16:00 – Paul Bourgade: Rigidity of one-component plasma in 2D.
16:00-16:30 – Break
16:30-17:15 – Ashkan Nikeghbali: The Circular Unitary Ensemble and the Riemann Zeta Function: the microscopic landscape.
17:15-17:45 – Joseph Najnudel: On the maximum of the characteristic polynomial of the circular beta ensemble.
Thursday 12 May 2016
09:00-10:00 – Open Problem Session
10:00-10:30 – Break
10:30-11:15 – Anna Lytova: Linear eigenvalue statistics for sample covariance matrices without independent structure in columns.
11:15-11:45 – Alexi Reynolds: Moments of beta-ensembles.
11:45-15:30 – Work in groups + lunch
Session 2
15:30-16:30 – Igor Krasovsky: Transition asymptotics for Toeplitz and Fredholm determinants.
16:30-17:00 – Break
17:00-17:45 – Anna Maltsev: Linear statistics of half-heavy-tailed random matrices.
19:00 – Conference Dinner
Friday 13 May 2016
09:15-10.00 – Francis Lane: The largest fragment of a homogeneous fragmentation process.
10:00-10:30 – Break
10:30-11:15 – Jonathan Bober: Statistics of character sums.
11:15-11:45 – Yan Fyodorov: Concluding remarks.
11:45-15:30 – Work in groups, lunch and Departure.