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
Sept. 21, 2021
Sept. 22, 2021
Sept. 23, 2021
Sept. 24, 2021
09:00 — 09:30
Registration & Welcome
09:30 — 10:30
Carlo Pagano (U of Glasgow)
Statistics of integral points on conics
Statistics of integral points on conics
10:30 — 11:00
Coffee Break
11:00 — 12:00
Vlad Matei (Tel Aviv U)
Probabilistic Galois Theory - The Square Discriminant Case
Probabilistic Galois Theory - The Square Discriminant Case
12:00 — 15:00
Lunch Break
15:00 — 16:00
Efthymios Sofos (U of Glasgow)
Schinzel's Hypothesis with probability 1 and rational points on varieties in families (in two parts)
Schinzel's Hypothesis with probability 1 and rational points on varieties in families (in two parts)
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)
Schinzel's Hypothesis with probability 1 and rational points on varieties in families (in two parts)
09:15 — 10:15
Margherita Pagano (Leiden U)
An example of a Brauer-Manin obstruction to weak approximation at a prime with good reduction
An example of a Brauer-Manin obstruction to weak approximation at a prime with good reduction
10:15 — 11:00
Coffee Break
11:00 — 12:00
Adam Morgan (U of Glasgow)
Integral Galois module structure of Mordell--Weil groups
Integral Galois module structure of Mordell--Weil groups
12:00 — 15:00
Lunch Break
15:00 — 16:00
Martin Widmer (RHUL)
Northcott numbers for the house and Weil height
Northcott numbers for the house and Weil height
16:00 — 16:30
Coffee Break
16:30 — 17:30
Florian Wilsch (ISTA, Klosterneuburg)
Integral points of bounded height on a certain toric variety
Integral points of bounded height on a certain toric variety
09:15 — 10:15
Ross Paterson (U of Glasgow)
Average Ranks of Elliptic Curves after p-Extension
Average Ranks of Elliptic Curves after p-Extension
10:15 — 11:00
Coffee Break
11:00 — 12:00
Beth Romano (U Oxford)
Arithmetic statistics via graded Lie algebras
Arithmetic statistics via graded Lie algebras
12:00 — 15:00
Lunch Break
15:00 — 16:00
Sam Streeter (U Bath)
Weak approximation for del Pezzo surfaces of low degree
Weak approximation for del Pezzo surfaces of low degree
16:00 — 16:30
Coffee Break
16:30 — 17:30
Damián Gvirtz (University College London)
The Hilbert Property for Enriques surfaces
The Hilbert Property for Enriques surfaces
18:30 — 23:00
Conference Dinner
09:15 — 10:15
Simon Rydin Myerson (U Warwick)
Fibrations over elliptic curves, Brauer groups and the elliptic sieve
Fibrations over elliptic curves, Brauer groups and the elliptic sieve
10:15 — 11:00
Coffee break
11:00 — 12:00
Marta Pieropan (Utrecht U)
Hyperbola method and Campana points on toric varieties
Hyperbola method and Campana points on toric varieties
09:15 — 10:15
Alex Bartel (U of Glasgow)
Statistics of ray class groups of quadratic number fields
Statistics of ray class groups of quadratic number fields
10:15 — 11:00
Coffee Break
11:00 — 12:00
Kevin Destagnol (U Paris Sud, Orsay)
Local distribution of rational points and the circle method
Local distribution of rational points and the circle method
12:15 — 13:15
Tal Horesh (ISTA, Klosterneuburg)
Distribution of primitive lattices and free rational points on the Grassmannian
Distribution of primitive lattices and free rational points on the Grassmannian
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 |
Vlad Matei (Tel Aviv U): Probabilistic Galois Theory - The Square Discriminant Case
Sept. 20, 2021 11:00 — 12:00
Sept. 20, 2021 11:00 — 12:00
Efthymios Sofos (U of Glasgow): Schinzel's Hypothesis with probability 1 and rational points on varieties in families (in two parts)
Sept. 20, 2021 15:00 — 16:00
Sept. 20, 2021 15:00 — 16:00
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
Sept. 20, 2021 16:30 — 17:30
Margherita Pagano (Leiden U): An example of a Brauer-Manin obstruction to weak approximation at a prime with good reduction
Sept. 21, 2021 09:15 — 10:15
Sept. 21, 2021 09:15 — 10:15
Adam Morgan (U of Glasgow): Integral Galois module structure of Mordell--Weil groups
Sept. 21, 2021 11:00 — 12:00
Sept. 21, 2021 11:00 — 12:00
Ross Paterson (U of Glasgow): Average Ranks of Elliptic Curves after p-Extension
Sept. 22, 2021 09:15 — 10:15
Sept. 22, 2021 09:15 — 10:15
Sam Streeter (U Bath): Weak approximation for del Pezzo surfaces of low degree
Sept. 22, 2021 15:00 — 16:00
Sept. 22, 2021 15:00 — 16:00
Simon Rydin Myerson (U Warwick): Fibrations over elliptic curves, Brauer groups and the elliptic sieve
Sept. 23, 2021 09:15 — 10:15
Sept. 23, 2021 09:15 — 10:15
Marta Pieropan (Utrecht U): Hyperbola method and Campana points on toric varieties
Sept. 23, 2021 11:00 — 12:00
Sept. 23, 2021 11:00 — 12:00
Alex Bartel (U of Glasgow): Statistics of ray class groups of quadratic number fields
Sept. 24, 2021 09:15 — 10:15
Sept. 24, 2021 09:15 — 10:15
Kevin Destagnol (U Paris Sud, Orsay): Local distribution of rational points and the circle method
Sept. 24, 2021 11:00 — 12:00
Sept. 24, 2021 11:00 — 12:00
Tal Horesh (ISTA, Klosterneuburg): Distribution of primitive lattices and free rational points on the Grassmannian
Sept. 24, 2021 12:15 — 13:15
Sept. 24, 2021 12:15 — 13:15
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)