Arithmetic Statistics and Local-Global Principles

The principal aim is to bring together leading researchers interested in the quantitative arithmetic of higher-dimensional varieties on the one hand, and those working on the statistics of algebraic number fields and elliptic curves on the other hand. These two areas have operated more or less independently over the last twenty years, but their borders share an increasingly rich seam of mathematics.

 

The conference will begin at 9am on Monday and finish at 1pm on Friday. Wednesday will be a free afternoon for collaborating, or exploring the vineyards in the hills outside Vienna.

Sept. 20, 2021
09:00 — 09:30
Registration & Welcome
09:30 — 10:30
10:30 — 11:00
Coffee Break
12:00 — 15:00
Lunch Break
16:00 — 16:30
Coffee Break
16:30 — 17:30
Alexei Skorobogatov (Imperial College London/FRIAS University of Freiburg)
Schinzel's Hypothesis with probability 1 and rational points on varieties in families (in two parts)
Sept. 21, 2021
10:15 — 11:00
Coffee Break
12:00 — 15:00
Lunch Break
15:00 — 16:00
16:00 — 16:30
Coffee Break
16:30 — 17:30
Florian Wilsch (ISTA, Klosterneuburg)
Integral points of bounded height on a certain toric variety
Sept. 22, 2021
09:15 — 10:15
10:15 — 11:00
Coffee Break
11:00 — 12:00
12:00 — 15:00
Lunch Break
16:00 — 16:30
Coffee Break
16:30 — 17:30
Damián Gvirtz (University College London)
The Hilbert Property for Enriques surfaces
18:30 — 23:00
Conference Dinner
Sept. 23, 2021
10:15 — 11:00
Coffee break
11:00 — 12:00
Sept. 24, 2021
10:15 — 11:00
Coffee Break
11:00 — 12:00

Organizers

Name Affiliation
Tim Browning Institute of Science and Technology Austria
Daniel Loughran University of Bath
Rachel Newton King's College London

Attendees

Name Affiliation
Alex Bartel University of Glasgow
Dante Bonolis Institute of Science and Technology Austria
Martin Bright Leiden University
Ulrich Derenthal Leibniz University
Kevin Destagnol University Paris Sud
Daniel El-Baz Technische Universität Graz
Christopher Frei Technische Universität Graz
Jakob Glas Institute of Science and Technology Austria
Damián Gvirtz University College London
Leonhard Hochfilzer Georg-August-Universität
Tal Horesh Institute of Science and Technology Austria
Zhizhong Huang Institute of Science and Technology Austria
Jef Laga University of Cambridge
Julian Lyczak Institute of Science and Technology Austria
Oscar Marmon Lund University
Vlad Matei Tel Aviv University
Vladimir Mitankin Leibniz University
Adam Morgan University of Glasgow
Otto Overkamp University of Oxford
Carlo Pagano University of Glasgow
Margherita Pagano Leiden University
Ross Paterson University of Glasgow
Marta Pieropan Utrecht University
Beth Romano University of Oxford
Simon Rydin Myerson University of Warwick
Tim Santens KU Leuven
Alec Shute Institute of Science and Technology Austria
Alexei Skorobogatov Imperial College London/FRIAS University of Freiburg
Efthymios Sofos University of Glasgow
Sam Streeter University of Bath
Lola Thompson Utrecht University
Magdaléna Tinková Czech Technical University Prague
Harkaran Uppal University of Bath
Martin Widmer Royal Holloway, University of London
Florian Wilsch Institute of Science and Technology Austria
Preview of Carlo Pagano - Statistics of integral points on conics
Carlo Pagano (U of Glasgow): Statistics of integral points on conics
Sept. 20, 2021 09:30 — 10:30
Preview of Alexei Skorobogatov - Schinzel's Hypothesis with probability 1 and rational points on varieties in families
Alexei Skorobogatov (Imperial College London/FRIAS University of Freiburg): Schinzel's Hypothesis with probability 1 and rational points on varieties in families (in two parts)
Sept. 20, 2021 16:30 — 17:30
Preview of Adam Morgan - Integral Galois module structure of Mordell--Weil groups
Adam Morgan (U of Glasgow): Integral Galois module structure of Mordell--Weil groups
Sept. 21, 2021 11:00 — 12:00
Preview of Ross Paterson - Average Ranks of Elliptic Curves after p-Extension
Ross Paterson (U of Glasgow): Average Ranks of Elliptic Curves after p-Extension
Sept. 22, 2021 09:15 — 10:15
Preview of Beth Romano - Arithmetic statistics via graded Lie algebras
Beth Romano (U Oxford): Arithmetic statistics via graded Lie algebras
Sept. 22, 2021 11:00 — 12:00
Preview of Marta Pieropan - Hyperbola method and Campana points on toric varieties
Marta Pieropan (Utrecht U): Hyperbola method and Campana points on toric varieties
Sept. 23, 2021 11:00 — 12:00
Preview of Alex Bartel - Statistics of ray class groups of quadratic number fields
Alex Bartel (U of Glasgow): Statistics of ray class groups of quadratic number fields
Sept. 24, 2021 09:15 — 10:15
Preview of Kevin Destagnol - Local distribution of rational points and the circle method
Kevin Destagnol (U Paris Sud, Orsay): Local distribution of rational points and the circle method
Sept. 24, 2021 11:00 — 12:00
At a glance
Type:
Workshop
When:
Sept. 20, 2021 — Sept. 24, 2021
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Tim Browning (ISTA, Klosterneuburg)
Daniel Loughran (U Bath)
Rachel Newton (KCL, London)