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 Leblé (CNRS, Université de Paris)

Statistical mechanics of particle systems, I

16:00 — 16:45
Dmitriy Bilyk (U of Minnesota)

 Minimal energy, packing, and covering, I

Jan. 11, 2022
14:00 — 14:45
Dmitriy Bilyk (U of Minnesota)

Minimal energy, packing, and covering, II

14:45 — 15:15
Coffee/Tea Break
15:15 — 16:00
Thomas Leblé (CNRS, Université de Paris)

Statistical mechanics of particle systems, II

Jan. 12, 2022
14:00 — 14:45
Dmitriy Bilyk (U of Minnesota)

Minimal energy, packing, and covering, III

14:45 — 15:15
Coffee/Tea Break
15:15 — 16:00
Thomas Leblé (CNRS, Université de Paris)

Statistical mechanics of particle systems, III

Jan. 13, 2022
14:00 — 14:45
Dmitriy Bilyk (U of Minnesota)

Minimal energy, packing, and covering, IV

14:45 — 15:15
Coffee/Tea Break
15:15 — 16:00
Thomas Leblé (CNRS, Université de Paris)

Statistical mechanics of particle systems, IV

Jan. 14, 2022
14:00 — 14:45
Dmitriy Bilyk (U of Minnesota)

Minimal energy, packing, and covering, V

14:45 — 15:15
Coffee/Tea Break
15:15 — 16:00
Thomas Leblé (CNRS, 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
14:00 — 14:40
14:45 — 15:00
Coffee break
15:00 — 15:40
Nihar Gargava (EPF Lausanne)
Lattice packings through division algebras
15:45 — 16:25
16:30 — 17:10
Jan. 20, 2022
14:00 — 14:40
14:45 — 15:00
Coffee break
15:45 — 16:25
Oleksandr Vlasiuk (Vanderbilt U, Nashville)
Optimal polarization and covering on sets of low smoothness
16:30 — 17:10
Jan. 21, 2022
14:00 — 14:40
14:45 — 15:00
Coffee break
15:00 — 15:40
Johann Brauchart (TU Graz)
Spherical Fibonacci Points: Weyl sums, ...
15:45 — 16:25
16:30 — 17:10
  • Michael Baake (U of Bielefeld)
  • Eiichi Bannai (Kyushu U, Fukuoka)
  • Rémi Bardenet (U Lille)
  • Eva Bayer-Fluckiger (EPF Lausanne)
  • Carlos Beltran (U of Cantabria)
  • Sergey Berezin (KU Leuven)
  • Laurent Bétermin (UCB Lyon)
  • Kerrin Bielser (U of Rostock)
  • Dimitriy Bilyk (U of Minnesota)
  • Bence Borda (TU Graz)
  • Sergiy Borodachov (Towson U)
  • Peter Boyvalenkov (BAS, Sofia)
  • Johann Brauchart (TU Graz)
  • Raphael Butez (U Genève)
  • Ji Hoon Chun (TU Berlin)
  • Henry Cohn (Microsoft, Redmond) — Organizer
  • Renaud Coulangeon (U Bordeaux)
  • Valentin Dannenberg (U of Rostock)
  • Matthew de Courcy-Ireland (EPF Lausanne)
  • David de Laat (TU Delft)
  • Victor de la Torre (U Barcelona)
  • Willem de Muinck Keizer (TU Delft)
  • Maria Dostert (KTH Stockholm)
  • Peter Dragnev (Purdue U Fort Wayne)
  • Daniel El-Baz (TU Graz)
  • Markus Faulhuber (U Vienna)
  • Damir Ferizović (KU Leuven)
  • Fernando Mário de Oliveira Filho (TU Delft)
  • Lenny Fukshansky (Claremont McKenna College)
  • Alexey Garber (U of Texas Rio Grande Valley)
  • Nihar Gargava (EPF Lausanne)
  • Bianca Maria Gariboldi (UNIBG)
  • Alexey Glazyrin (U of Texas Rio Grande Valley)
  • Felipe Gonçalves (Uni Bonn)
  • Peter Grabner (TU Graz) — Organizer
  • Karlheinz Gröchenig (U Vienna)
  • Anupam Gumber (U Vienna)
  • Antti Haimi (OEAW, Vienna)
  • Martin Henk (TU Berlin)
  • Ryan Koenig (Purdue U Fort Wayne)
  • Werner Krauth (ENS Paris)
  • David Krieg (JKU, Linz)
  • Arno Kuijlaars (KU Leuven)
  • Woden Kusner (UGA)
  • Frieder Ladisch (U of Rostock)
  • Thomas Leble (Université de Paris)
  • Chin-Yen Lee (National Central University)
  • Nando Leijenhorst (TU Delft)
  • Norman Levenberg (Indiana U, Bloomington)
  • Fatima Lizarte (U of Cantabria)
  • Pedro López (U of Cantabria)
  • Felipe Marceca (U Vienna)
  • Jordi Marzo (U Barcelona)
  • Michelle Mastrianni (U of Minnesota)
  • Ryan Matzke (TU Graz)
  • Philippe Moustrou (Arctic U)
  • Michael Muhr (Assistant) (TU Graz) — Organizer
  • Oleg Musin (U of Texas Rio Grande Valley)
  • Gabriele Nebe (RWTH Aachen)
  • Joaquim Ortega (U Barcelona)
  • Mircea Petrache (Pontificial Catholic U of Chile)
  • Danylo Radchenko (ETH Zürich)
  • Hannes Richter (U of Rostock)
  • Sinai Robins (USP)
  • Jose Luis Romero (U Vienna)
  • Juan Pablo Rossetti (UNC)
  • Edward Saff (Vanderbilt U, Nashville) — Organizer
  • Andrew Salmon (MIT, Cambridge)
  • Etienne Sandier (U Paris-Est)
  • Sebastian Schmutzhard-Hoefler (U Vienna)
  • Robert Schüler (U of Rostock)
  • Achill Schürmann (U of Rostock) — Organizer
  • Vlad Serban (EPF Lausanne)
  • Irina Shafkulovska (U Vienna)
  • Lucas Slot (CWI)
  • Mathias Sonnleitner (JKU, Linz)
  • Michael Speckbacher (U Vienna)
  • Andreas Spomer (U Cologne)
  • Tetiana Stepaniuk (U Lübeck)
  • Maya Stoyanova (Sofia U)
  • Nathaniel Tenpas (Vanderbilt U, Nashville)
  • Florian Theil (U Warwick)
  • Robert Tichy (TU Graz)
  • Khang Tran (Fresno State)
  • Mario Ullrich (JKU, Linz)
  • Frank Vallentin (U Cologne)
  • Oleksandr Vlasiuk (Vanderbilt U, Nashville)
  • Minh Quan Vu (Vanderbilt U, Nashville)
  • Ziqing Xiang (Academia Sinica)
  • Chen Xuemei (UNCW)
  • Oren Yakir (Tel Aviv U)
  • Daodao Yang (TU Graz)
  • Wei-Hsuan Yu (National Central University)
  • Ofer Zeitouni (Weizmann Institute, Rehovot)
  • Da Zhao (Kyoto U)
  • Yan Zhu (University of Shanghai for Science and Technology)
  • Marc Christian Zimmermann (U Cologne)
  • Chuanming Zong (Tianjin U)
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 Dmitriy Bilyk - Minimal energy, packing, and covering, I
Dmitriy Bilyk - Minimal energy, packing, and covering, I
Preview of Dmitriy Bilyk - Minimal energy, packing, and covering, II
Dmitriy Bilyk - Minimal energy, packing, and covering, II
Preview of Dmitriy Bilyk - Minimal energy, packing, and covering, III
Dmitriy Bilyk - Minimal energy, packing, and covering, III
Preview of Dmitriy Bilyk - Minimal energy, packing, and covering, IV
Dmitriy Bilyk - Minimal energy, packing, and covering, IV
Preview of Dmitriy Bilyk - Minimal energy, packing, and covering, V
Dmitriy Bilyk - Minimal energy, packing, and covering, V
Preview of Thomas Leblé - Statistical mechanics of particle systems, I
Thomas Leblé - Statistical mechanics of particle systems, I
Preview of Thomas Leblé - Statistical mechanics of particle systems, II
Thomas Leblé - Statistical mechanics of particle systems, II
Preview of Thomas Leblé - Statistical mechanics of particle systems, III
Thomas Leblé - Statistical mechanics of particle systems, III
Preview of Thomas Leblé - Statistical mechanics of particle systems, IV
Thomas Leblé - Statistical mechanics of particle systems, IV
Preview of Thomas Leblé - Statistical mechanics of particle systems, V
Thomas Leblé - Statistical mechanics of particle systems, V
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)
Michael Muhr (Assistant) (TU Graz)
Edward Saff (Vanderbilt U, Nashville)
Achill Schürmann (U of Rostock)
Robert Womersley (UNSW, Sydney)
More:
Website