The Aztec Diamond: an analytic journey through random tilings (Maurice Duits)
Maurice Duits, professor at the Royal Institute of Technology (Sweden) and lauerate of the FSMP Chair of Excellence in 2025, is giving, in the frame of his chair, a 20-hour course on the topic of The Aztec Diamond: an analytic journey through random tilings.
This course will take place at the IHP from January 15 to March 10, 2026.
The first two sessions will take place on Thursdays from 2:00 p.m. to 5:15 p.m. in amphitheatre Yvonne Choquet-Bruhat (Perrin building), then the next sessions will take place on Tuesdays from 9:30 a.m. to 12:45 p.m. in room Pierre Grisvard (3rd floor of the Borel building). As the course's total length is 20 hours, two of the seven last lectures will be cancelled, in agreement with Maurice Duits. The information will be released on this page.
Summary and lecture notes
Find the summary and lecture notes on the page: https://people.kth.se/~duits/#/Aztec
To learn more about Maurice Duits' work, visit his personal page.
Videos of the lectures
Lecture #1: Determinantal point processes
Notes of lecture #1
Slides of lecture #1
Leçon n°2 : Non-intersecting paths, LGV Theorem, Eynard-Mehta Theorem, Schur processes
Notes of lecture #2 (chap. 2 and 5)
Slides of lecture #2
Lecture #3: Asymptotic study of the uniform Aztec diamond
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