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Abstract (Day-by-Day)	8/1 (Wed)	8/2 (Thu)	8/3 (Fri)	8/4 (Sat)	8/6 (Mon)	8/7 (Tue)	8/8 (Wed)	8/9 (Thu)
Plenary Lectures		1: Simon Donaldson 2: Sylvia Serfaty 3: Rahul Pandharipande	4: Andrei Okounkov 5: Gregory Lawler 6: Carlos Gustavo Moreira	7: Luigi Ambrosio 8: Lai-Sang Young 9: Peter Scholze	10: Ronald Coifman 11: Peter Kronheimer & Tomasz Mrowka 12: Catherine Goldstein	13: Alexander Lubotzky 14: Nalini Anantharaman 15: Sanjeev Arora	16: Assaf Naor 17: Geordie Williamson 18: Christian Lubich	19: Gil Kalai 20: Michael Jordan 21: Vincent Lafforgue
1. Logic and Foundations						1.1: Jochen Koenigsmann   1.2: Matthias Aschenbrenner	1.3: Maryanthe Malliaris   1.4: Stephen Jackson   1.5: Ulrich Kohlenbach
2. Algebra					2.1: Ivan Panin   2.2: Moritz Kerz   2.3: Osamu Iyama		2.4: Pham Tiep   2.5: Sonia Natale   2.6: Christof Geiß
3. Number Theory		3.1: Maryna Viazovska   3.2: James Maynard   3.3: Vincent Pilloni   3.4: Laurent Fargues		3.5: Maksym Radziwiłł   3.6: Bjorn Poonen   3.7: Ritabrata Munshi   3.8: Georgios Pappas	3.9: Miguel Walsh	3.10: Wei Zhang   3.11: Yves André   3.12: Jack Thorne   3.13: Jacob Tsimerman
4. Algebraic and Complex Geometry		4.1: Sébastien Boucksom   4.2: Caucher Birkar   4.3: Lucia Caporaso   4.4: Laurent Fargues	4.5: Chenyang Xu   4.6: Wojciech Kucharz   4.7: Carolina Araujo	4.8: András Némethi   4.9: Meng Chen   4.10: Mihnea Popa   4.11: Georgios Pappas	4.12: Serge Cantat	4.13: Dan Abramovich   4.14: JongHae Keum   4.15: Paul Hacking	4.16: Zhiwei Yun
5. Geometry		5.1: Nicolas Bergeron   5.2: Bo Berndtsson   5.3: Denis Osin   5.4: Umberto Hryniewicz	5.5: Ciprian Manolescu   5.6: Emmy Murphy the speaker did not submit a contribution to the Proceedings   5.7: Tobias Ekholm	5.8: Ivan Smith   5.9: Mahan Mj   5.10: Song Sun   5.11: Anna Wienhard		5.12: Eugenia Malinnikova
6. Topology			6.1: Ciprian Manolescu   6.2: Emmy Murphy the speaker did not submit a contribution to the Proceedings   6.3: Tobias Ekholm	6.4: András Némethi   6.5: Thomas Willwacher   6.6: Andreas Thom	6.7: Alan Reid   6.8: Arthur Bartels   6.9: Bernardo Uribe	6.10: Fanny Kassel   6.11: Robert Lipshitz   6.12: Koji Fujiwara   6.13: John Pardon
7. Lie Theory and Generalizations		7.1: Olivier Schiffmann   7.2: Tomoyuki Arakawa   7.3: Vyacheslav Futorny   7.4: Tsachik Gelander		7.5: Dipendra Prasad   7.6: Eva Viehmann   7.7: Michael Finkelberg   7.8: Xuhua He			7.9: Akshay Venkatesh Fields Medal   7.10: Zhiwei Yun   7.11: Christof Geiß
8. Analysis and Operator Algebras		8.1: Sébastien Boucksom   8.2: Bo Berndtsson   8.3: Guido De Philippis	8.4: Yasuyuki Kawahigashi   8.5: Adrian Ioana   8.6: Ruy Exel	8.7: Dmitry Chelkak   8.8: András Máthé   8.9: Andreas Thom   8.10: Stefanie Petermichl	8.11: Ciprian Demeter   8.12: Christopher Bishop   8.13: Tien-Cuong Dinh	8.14: Mouhamed Fall   8.15: Lewis Bowen   8.16: Spiros Argyros   8.17: William Johnson	8.18: Alexei Poltoratski   8.19: Svitlana Mayboroda   8.20: Wilhelm Winter
9. Dynamical Systems and Ordinary Differential Equations		9.1: Feliks Przytycki   9.2: Raphaël Krikorian   9.3: Jiangong You   9.4: Martin Möller	9.5: Laura DeMarco   9.6: Sébastien Gouëzel   9.7: Michael Hochman	9.8: Andrés Navas   9.9: Jairo Bochi   9.10: Lorenzo Díaz   9.11: Rafael Potrie	9.12: Meysam Nassiri   9.13: Serge Cantat   9.14: Miguel Walsh	9.15: Stéphane Nonnenmacher   9.16: Lewis Bowen   9.17: Carlangelo Liverani   9.18: Konstantin Khanin
10. Partial Differential Equations		10.1: Colin Guillarmou   10.2: Jean-Marc Delort   10.3: Guido De Philippis   10.4: Mohamed Majdoub	10.5: Maria Esteban   10.6: Helena Nussenzveig Lopes   10.7: Yoshikazu Giga		10.8: Pierre-Emmanuel Jabin   10.9: Clément Mouhot	10.10: Stéphane Nonnenmacher   10.11: Eugenia Malinnikova   10.12: Massimiliano Gubinelli   10.13: Nader Masmoudi	10.14: Alexander Kiselev   10.15: Yvan Martel   10.16: Diego Córdoba
11. Mathematical Physics			11.1: Yasuyuki Kawahigashi	11.2: Alexander Belavin   11.3: Thomas Willwacher   11.4: Benjamin Schlein   11.5: Fabio Toninelli	11.6: Yuji Tachikawa   11.7: Mariya Shcherbina   11.8: Clément Mouhot	11.9: Claudio Landim   11.10: Hugo Duminil-Copin   11.11: Carlangelo Liverani   11.12: Konstantin Khanin	11.13: Rinat Kashaev   11.14: Simone Warzel the speaker did not submit a contribution to the Proceedings   11.15: Philippe Di Francesco
12. Probability and Statistics		12.1: Jason Miller   12.2: Paul Bourgade   12.3: Bálint Tóth   12.4: Byeong Park	12.5: Allan Sly the speaker did not submit a contribution to the Proceedings   12.6: Josselin Garnier   12.7: Sem Borst	12.8: Dmitry Chelkak	12.9: Jonathan Taylor   12.10: Elizaveta Levina   12.11: Noureddine El Karoui	12.12: Claudio Landim   12.13: Hugo Duminil-Copin   12.14: Massimiliano Gubinelli   12.15: Richard Kenyon	12.16: Andrea Montanari   12.17: Peter Bühlmann   12.18: Vladimir Koltchinskii
13. Combinatorics		13.1: Maryna Viazovska	13.2: Alexander Postnikov   13.3: Gábor Tardos   13.4: László Babai		13.5: June Huh   13.6: Robert Morris   13.7: Nicholas Wormald	13.8: Balázs Szegedy   13.9: Igor Pak   13.10: Peter Keevash   13.11: Richard Kenyon
14. Mathematical Aspects of Computer Science		14.1: Aleksander Mądry   14.2: Andris Ambainis   14.3: Benjamin Rossman   14.4: Yael Kalai	14.5: László Babai	14.6: David Steurer   14.7: Piotr Indyk   14.8: Virginia Vassilevska Williams   14.9: Neeraj Kayal the speaker did not submit a contribution to the Proceedings
15. Numerical Analysis and Scientific Computing		15.1: Manuel Castro   15.2: Qiang Du   15.3: Raimund Bürger   15.4: Shi Jin	15.5: Anna-Karin Tornberg   15.6: Barbara Wohlmuth the speaker did not submit a contribution to the Proceedings   15.7: Michael Giles		15.8: Pingwen Zhang   15.9: Siddhartha Mishra   15.10: Tao Tang
16. Control Theory and Optimization						16.1: Emmanuel Trélat   16.2: Jean Lasserre   16.3: Matti Lassas	16.4: Claudia Sagastizábal   16.5: Philippe Toint   16.6: Rekha Thomas
17. Mathematics in Science and Technology		17.1: Manuel Castro   17.2: Qiang Du   17.3: Raimund Bürger   17.4: Shi Jin	17.5: Maria Esteban   17.6: Josselin Garnier   17.7: Sem Borst		17.8: Amit Singer   17.9: Pierre-Emmanuel Jabin   17.10: Andrea Bertozzi		17.11: Pierre Degond   17.12: Richard James   17.13: Selim Esedoğlu
18. Mathematics Education and Popularization of Mathematics			18.1: Luis Radford   18.2: Marianna Bosch Casabò   18.3: Mamokgethi Phakeng canceled	18.4: Nikolai Andreev invited panel   18.5: Sylvie Benzoni invited panel   18.6: Akihiko Takahashi invited panel
19. History of Mathematics							19.1: David Rowe   19.2: Jan von Plato   19.3: Tatiana Roque
Plenary Lectures     Invited Lectures