Optimal Point Configurations on Manifolds

The quest for ``good'' point configurations is ubiquitous in many applications
of mathematics, and of course in mathematics itself as well: any discretisation
of a continuous object has to satisfy an (intrinsic or extrinsic) quality
measure. Point sets or discretisations minimising a given quality measure are
of special importance. Many such quality measures have been introduced and
studied.

The first week is dedicated to a winter school with lecture series

• Dmitriy Bilyk, University of Minnesota: Minimal energy, packing, and covering

• Thomas Leblé, CNRS, Université de Paris: Statistical mechanics of particle systems.

These lecture series give the opportunity to reach and
educate PhD-students and young researchers interested in the subject. Of course, besides the winter school there will be enough time for scientific interaction.

The second week is dedicated to a workshop which brings together researchers working on the subject and giving them the
opportunity to exchange recent results and to cooperate.

Jan. 10, 2022
13:00 — 15:00
Registration
15:00 — 15:15
Welcome
15:15 — 16:00
Thomas Leble (Université de Paris)
Statistical mechanics of particle systems, I
16:00 — 16:45
Jan. 11, 2022
14:00 — 14:45
14:45 — 15:15
Coffee/Tea Break
15:15 — 16:00
Thomas Leblé (CNRS, Université de Paris) Thomas Leble (Université de Paris)
Statistical mechanics of particle systems, II
Jan. 12, 2022
14:00 — 14:45
14:45 — 15:15
Coffee/Tea Break
15:15 — 16:00
Jan. 13, 2022
14:00 — 14:45
14:45 — 15:15
Coffee/Tea Break
15:15 — 16:00
Jan. 14, 2022
14:00 — 14:45
14:45 — 15:15
Coffee/Tea Break
15:15 — 16:00
Thomas Leble (Université de Paris)
Statistical mechanics of particle systems, V
Jan. 17, 2022
13:00 — 14:00
Registration & Welcome
14:45 — 15:00
Coffee break
15:00 — 15:40
16:30 — 17:10
Jan. 18, 2022
14:45 — 15:00
Coffee break
15:00 — 15:40
Lenny Fukshansky (Claremont McKenna College)
Geometric constructions for sparse integer signal recovery
15:45 — 16:25
Nathaniel Tenpas (Vanderbilt U, Nashville)
Some Optimal Periodic Point Configurations
16:30 — 17:10
Andrew Salmon (MIT, Cambridge)
Three point bounds for sphere packing
Jan. 19, 2022
14:45 — 15:00
Coffee break
15:00 — 15:40
15:45 — 16:25
Jan. 20, 2022
14:00 — 14:40
14:45 — 15:00
Coffee break
15:45 — 16:25
16:30 — 17:10
Jan. 21, 2022
14:45 — 15:00
Coffee break
15:00 — 15:40
16:30 — 17:10

Organizers

Name Affiliation
Christine Bachoc University of Bordeaux
Henry Cohn Microsoft
Peter Grabner Technical University of Graz
Douglas Hardin Vanderbilt University
Edward Saff Vanderbilt University
Achill Schürmann University of Rostock
Robert Womersley University of New South Wales

Attendees

Name Affiliation
Michael Baake Bielefeld University
Eiichi Bannai Kyushu University
Rémi Bardenet University of Lille
Eva Bayer-Fluckiger EPFL Lausanne
Carlos Beltran Universidad de Cantabria
Sergey Berezin KU Leuven
Laurent Bétermin Université Claude-Bernard Lyon 1
Kerrin Bielser University of Rostock
Dimitriy Bilyk University of Minnesota
Bence Borda Technische Universität Graz
Sergiy Borodachov Towson University
Peter Boyvalenkov Bulgarian Academy of Science
Johann Brauchart Technical University of Graz
Raphael Butez University of Genève
Ji Hoon Chun Technical University Berlin
Renaud Coulangeon University of Bordeaux
Valentin Dannenberg University of Rostock
Matthew de Courcy-Ireland EPFL Lausanne
David de Laat Technical University Delft
Victor de la Torre University of Barcelona
Willem de Muinck Keizer Technical University Delft
Maria Dostert KTH Stockholm
Peter Dragnev Purdue University Fort Wayne
Daniel El-Baz Technische Universität Graz
Markus Faulhuber University of Vienna
Damir Ferizović KU Leuven
Fernando Mário de Oliveira Filho Technical University Delft
Lenny Fukshansky Claremont McKenna College
Alexey Garber The University of Texas Rio Grande Valley
Nihar Gargava EPFL Lausanne
Bianca Maria Gariboldi Universita Degli Studi di Bergamo
Alexey Glazyrin The University of Texas Rio Grande Valley
Felipe Gonçalves Universität Bonn
Karlheinz Gröchenig University of Vienna
Anupam Gumber University of Vienna
Antti Haimi Austrian Academy of Sciences
Martin Henk Technical University Berlin
Ryan Koenig Purdue University Fort Wayne
Werner Krauth Ecole Normale Superieure
David Krieg Johannes Kepler Universität
Arno Kuijlaars KU Leuven
Woden Kusner University of Georgia
Frieder Ladisch University of Rostock
Thomas Leble Université de Paris
Chin-Yen Lee National Central University
Nando Leijenhorst Technical University Delft
Norman Levenberg Indiana University
Fatima Lizarte Universidad de Cantabria
Pedro López Universidad de Cantabria
Felipe Marceca University of Vienna
Jordi Marzo University of Barcelona
Michelle Mastrianni University of Minnesota
Ryan Matzke Technical University of Graz
Philippe Moustrou The Arctic University of Norway
Michael Muhr (Assistant) Technical University of Graz
Oleg Musin The University of Texas Rio Grande Valley
Gabriele Nebe RWTH Aachen
Joaquim Ortega University of Barcelona
Mircea Petrache Pontificial Catholic University of Chile
Danylo Radchenko ETH Zürich
Hannes Richter University of Rostock
Sinai Robins Universidade de São Paulo
Jose Luis Romero University of Vienna
Juan Pablo Rossetti Universidad Nacional de Cordoba
Andrew Salmon Massachusetts Institute of Technology
Etienne Sandier University Paris-Est, Creteil
Sebastian Schmutzhard-Hoefler University of Vienna
Robert Schüler University of Rostock
Vlad Serban EPFL Lausanne
Irina Shafkulovska University of Vienna
Lucas Slot Centrum Wiskunde & Informatica
Mathias Sonnleitner Johannes Kepler Universität
Michael Speckbacher University of Vienna
Andreas Spomer University of Cologne
Tetiana Stepaniuk University Lübeck
Maya Stoyanova Sofia University
Nathaniel Tenpas Vanderbilt University
Florian Theil University of Warwick
Robert Tichy Technical University of Graz
Khang Tran California State University
Mario Ullrich Johannes Kepler Universität
Frank Vallentin University of Cologne
Oleksandr Vlasiuk Vanderbilt University
Minh Quan Vu Vanderbilt University
Ziqing Xiang Academia Sinica
Chen Xuemei University of North Carolina Wilmington
Oren Yakir Tel Aviv University
Daodao Yang Technische Universität Graz
Wei-Hsuan Yu National Central University
Ofer Zeitouni Weizmann Institute of Science
Da Zhao Kyoto University
Yan Zhu University of Shanghai for Science and Technology
Marc Christian Zimmermann University of Cologne
Chuanming Zong Tianjin University
Preview of Thomas Leblé - Statistical mechanics of particle systems, I
Thomas Leble (Université de Paris): Statistical mechanics of particle systems, I
Jan. 10, 2022 15:15 — 16:00
Preview of Dmitriy Bilyk - Minimal energy, packing, and covering, I
Dmitriy Bilyk (U of Minnesota): Minimal energy, packing, and covering, I
Jan. 10, 2022 16:00 — 16:45
Preview of Dmitriy Bilyk - Minimal energy, packing, and covering, II
Dmitriy Bilyk (U of Minnesota): Minimal energy, packing, and covering, II
Jan. 11, 2022 14:00 — 14:45
Preview of Thomas Leblé - Statistical mechanics of particle systems, II
Thomas Leble (Université de Paris): Statistical mechanics of particle systems, II
Jan. 11, 2022 15:15 — 16:00
Preview of Dmitriy Bilyk - Minimal energy, packing, and covering, III
Dmitriy Bilyk (U of Minnesota): Minimal energy, packing, and covering, III
Jan. 12, 2022 14:00 — 14:45
Preview of Thomas Leblé - Statistical mechanics of particle systems, III
Thomas Leble (Université de Paris): Statistical mechanics of particle systems, III
Jan. 12, 2022 15:15 — 16:00
Preview of Dmitriy Bilyk - Minimal energy, packing, and covering, IV
Dmitriy Bilyk (U of Minnesota): Minimal energy, packing, and covering, IV
Jan. 13, 2022 14:00 — 14:45
Preview of Thomas Leblé - Statistical mechanics of particle systems, IV
Thomas Leble (Université de Paris): Statistical mechanics of particle systems, IV
Jan. 13, 2022 15:15 — 16:00
Preview of Dmitriy Bilyk - Minimal energy, packing, and covering, V
Dmitriy Bilyk (U of Minnesota): Minimal energy, packing, and covering, V
Jan. 14, 2022 14:00 — 14:45
Preview of Thomas Leblé - Statistical mechanics of particle systems, V
Thomas Leble (Université de Paris): Statistical mechanics of particle systems, V
Jan. 14, 2022 15:15 — 16:00
Preview of Peter Dragnev - Riesz energy problems with external fields and related theory*
Peter Dragnev (Purdue U Fort Wayne): Riesz energy problems with external fields and related theory*
Jan. 17, 2022 15:00 — 15:40
Preview of Alexey Glazyrin - Optimal point configurations and measures for multivariate geometric potentials
Alexey Glazyrin (U of Texas Rio Grande Valley): Optimal point configurations and measures for multivariate geometric potentials
Jan. 17, 2022 16:30 — 17:10
Preview of Lenny Fukshansky - Geometric constructions for sparse integer signal recovery
Lenny Fukshansky (Claremont McKenna College): Geometric constructions for sparse integer signal recovery
Jan. 18, 2022 15:00 — 15:40
Preview of Nathaniel Tenpas - Some Optimal Periodic Point Configurations
Nathaniel Tenpas (Vanderbilt U, Nashville): Some Optimal Periodic Point Configurations
Jan. 18, 2022 15:45 — 16:25
Preview of Andrew Salmon - Three point bounds for sphere packing
Andrew Salmon (MIT, Cambridge): Three point bounds for sphere packing
Jan. 18, 2022 16:30 — 17:10
Preview of Laurent Bétermin - Theta functions and optimal lattices for a grid cells model
Laurent Bétermin (UCB Lyon): Theta functions and optimal lattices for a grid cells model
Jan. 19, 2022 14:00 — 14:40
Preview of Nihar Gargava - Lattice packings through division algebras
Nihar Gargava (EPFL Lausanne): Lattice packings through division algebras
Jan. 19, 2022 15:00 — 15:40
Preview of Mircea Petrache - Almost-sure recovery of quasi-periodic structures from their random perturbation
Mircea Petrache (Pontificial Catholic U of Chile): Almost-sure recovery of quasi-periodic structures from their random perturbation
Jan. 19, 2022 15:45 — 16:25
Preview of Chuanming Zong - Characterization of the Three-Dimensional Multiple Tiles
Chuanming Zong (Tianjin U): Characterization of the Three-Dimensional Multiple Tiles
Jan. 19, 2022 16:30 — 17:10
Preview of Carlos Beltran - A Fast Algorithm for Designing Grassmannian Constellations
Carlos Beltran (U of Cantabria): A Fast Algorithm for Designing Grassmannian Constellations
Jan. 20, 2022 14:00 — 14:40
Preview of Oleksandr Vlasiuk - Optimal polarization and covering on sets of low smoothness
Oleksandr Vlasiuk (Vanderbilt U, Nashville): Optimal polarization and covering on sets of low smoothness
Jan. 20, 2022 15:45 — 16:25
Preview of Ji Hoon Chun - Finite sphere packings in low and high dimensions
Ji Hoon Chun (TU Berlin): Finite sphere packings in low and high dimensions
Jan. 20, 2022 16:30 — 17:10
Preview of Johann Brauchart - Spherical Fibonacci Points: Weyl sums, ...
Johann Brauchart (TU Graz): Spherical Fibonacci Points: Weyl sums, ...
Jan. 21, 2022 15:00 — 15:40
At a glance
Type:
Workshop
When:
Jan. 10, 2022 — Jan. 21, 2022
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Christine Bachoc (U Bordeaux)
Henry Cohn (Microsoft, Redmond)
Peter Grabner (TU Graz)
Douglas Hardin (Vanderbilt U, Nashville)
Edward Saff (Vanderbilt U, Nashville)
Achill Schürmann (U of Rostock)
Robert Womersley (UNSW, Sydney)
More:
Website