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
Carlo Pagano (University of Glasgow)
Statistics of integral points on conics
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
11:00 — 12:00
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
Ross Paterson (University of Glasgow)
Average Ranks of Elliptic Curves after p-Extension
10:15 — 11:00
Coffee Break
11:00 — 12:00
12:00 — 15:00
Lunch Break
15:00 — 16:00
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
09:15 — 10:15
10:15 — 11:00
Coffee break
11:00 — 12:00
Sept. 24, 2021
09:15 — 10:15
Alex Bartel (University of Glasgow)
Statistics of ray class groups of quadratic number fields
10:15 — 11:00
Coffee Break
11:00 — 12:00
  • Alex Bartel (University of Glasgow)
  • Dante Bonolis (ISTA, Klosterneuburg)
  • Martin Bright (Leiden U)
  • Tim Browning (ISTA, Klosterneuburg) — Organizer
  • Ulrich Derenthal (Leibniz U)
  • Kevin Destagnol (U Paris Sud, Orsay)
  • Daniel El-Baz (TU Graz)
  • Christopher Frei (TU Graz)
  • Jakob Glas (ISTA, Klosterneuburg)
  • Damián Gvirtz (University College London)
  • Leonhard Hochfilzer (Georg-August-U, Göttingen)
  • Tal Horesh (ISTA, Klosterneuburg)
  • Zhizhong Huang (ISTA, Klosterneuburg)
  • Jef Laga (U Cambridge)
  • Daniel Loughran (U Bath) — Organizer
  • Julian Lyczak (ISTA, Klosterneuburg)
  • Oscar Marmon (Lund U)
  • Vlad Matei (Tel Aviv U)
  • Vladimir Mitankin (Leibniz U)
  • Adam Morgan (University of Glasgow)
  • Rachel Newton (KCL, London) — Organizer
  • Otto Overkamp (U Oxford)
  • Carlo Pagano (University of Glasgow)
  • Margherita Pagano (Leiden U)
  • Ross Paterson (University of Glasgow)
  • Marta Pieropan (Utrecht U)
  • Beth Romano (U Oxford)
  • Simon Rydin Myerson (U Warwick)
  • Tim Santens (KU Leuven)
  • Alec Shute (ISTA, Klosterneuburg)
  • Alexei Skorobogatov (Imperial College London/FRIAS University of Freiburg)
  • Efthymios Sofos (University of Glasgow)
  • Sam Streeter (U Bath)
  • Lola Thompson (Utrecht U)
  • Magdaléna Tinková (CTU Prague)
  • Harkaran Uppal (U Bath)
  • Martin Widmer (RHUL)
  • Florian Wilsch (ISTA, Klosterneuburg)
Preview of Carlo Pagano - Statistics of integral points on conics
Carlo Pagano (University 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 (University of Glasgow): Integral Galois module structure of Mordell--Weil groups
Sept. 21, 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)