BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20260611T080412EDT-9285WUuvLA@132.216.98.100 DTSTAMP:20260611T120412Z DESCRIPTION:Joshua Zahl (Nankai University)\n\nBiography: Joshua Zahl is a professor at the Chern Institute of Mathematics\, Nankai University\, and was previously a faculty member at the University of British Columbia from 2016 to 2025. He is an internationally renowned leading expert in classic al harmonic analysis\, geometric measure theory\, discrete geometry and co mbinatorial geometry. After receiving his Ph.D. from the University of Cal ifornia\, Los Angeles\, in 2013\, Joshua Zahl held an NSF postdoctoral pos ition at the Massachusetts Institute of Technology. He received the PIMS/U BC Mathematical Sciences Early Career Award in 2023\, the ICBS Frontiers o f Science Award in Mathematics in 2024\, and will be an invited speaker at the 2026 International Congress of Mathematicians (ICM) in Philadelphia.. \n\nLecture 1 - This talk is aimed at a general mathematical audience. \n \nMonday\, September 22\, 2025\, 3:30pm  \n Room 6214 (CRM). Location: Cent re de recherches mathématiques (CRM)\, Pavillon André-Aisenstadt\, Univers ité de Montréal\n \n A wine and cheese reception will follow.\n\nTitle: The Besicovitch compression phenomenon and the Kakeya set conjecture\n\nAbstra ct: In 1919\, Besicovitch constructed a compact set in the plane with Lebe sgue measure 0 that contains a unit line segment pointing in every directi on. Such objects are now called measure 0 Besicovitch sets (aka Kakeya set s). By replacing a measure zero Besicovitch set by its \delta-thickening\, one obtains a collection of 1 x \delta rectangles pointing in different d irections\, the sum of whose areas is 1\, but whose union has very small v olume. The existence of such collections of rectangles is called the Besic ovitch compression phenomenon.\n The Kakeya set conjecture is a quantitativ e statement controlling the strength of the Besicovitch compression phenom enon. In this talk\, I will discuss connections between the Besicovitch co mpression phenomenon\, the Kakeya set conjecture\, and questions in harmon ic analysis and PDE.\n\nLecture 2 \n\nTuesday\, September 23\, 2025\, 2:30 pm (Note the different time.)\n Room 6214 (CRM). Location: Centre de recher ches mathématiques (CRM)\, Pavillon André-Aisenstadt\, Université de Montr éal\n \n A coffee get-together will follow.\n\nTitle: Sticky Kakeya sets\n\n Abstract: Sticky Kakeya sets are a special class of Kakeya sets that are a pproximately self-similar at every location and scale. The sticky Kakeya c onjecture asserts that every sticky Kakeya set in R^n has Hausdorff dimens ion n. In 2022\, Hong Wang and I proved this conjecture in dimension 3\; t his was an important ingredient in our subsequent proof of the Kakeya set conjecture in dimension 3. In this talk I will discuss progress on the Kak eya conjecture over the past several decades\, leading to the proof of the sticky Kakeya conjecture in dimension 3. This is joint work with Hong Wan g.\n\n \n\nHong Wang (IHES and Courant Institute\, NYU)\n\nBiography: Begi nning this fall\, Hong Wang will join the Institut des Hautes Études Scien tifiques (IHES)\, on a joint professorship with the Courant Institute of M athematical Sciences at New York University. Hong Wang is an outstanding m athematician working in the fields of Fourier analysis and geometric measu re theory. She received her Ph.D. from the Massachusetts Institute of Tech nology in 2019\, and held a postdoctoral position at the Institute for Adv anced Study. Before joining the Courant Institute in 2023\, she was at the University of California\, Los Angeles. In 2022 she received the Maryam M irzakhani New Frontiers Prize “for advances on the restriction conjecture\ , the local smoothing conjecture\, and related problems”. Wang will be an invited speaker at the 2026 International Congress of Mathematicians (ICM) in Philadelphia.\n\nLecture 1\n\nThursday\, September 25\, 2025\, 2:30pm  \n Room 6214 (CRM). Location: Centre de recherches mathématiques (CRM)\, Pa villon André-Aisenstadt\, Université de Montréal\n \n A coffee get-together will follow.\n\nTitle: Kakeya sets in R^3\n\nAbstract: A Kakeya set is a c ompact set of R^n that contains a unit line segment pointing in every dire ction. Kakeya set conjecture asserts that every Kakeya set has Hausdorff d imension n. In this talk\, we present the ideas in proving the Kakeya set conjecture in R^3 assuming our previous result on sticky Kakeya sets as a black box. This is joint work with Josh Zahl.\n\nLecture 2 - This talk is aimed at a general mathematical audience\n\nFriday\, September 26\, 2025\, 2023\, 3:30pm (Note the different time.) \n Room 6214 (CRM). Location: Cen tre de recherches mathématiques (CRM)\, Pavillon André-Aisenstadt\, Univer sité de Montréal\n \n A wine and cheese reception will follow.\n\nTitle: Res triction theory and projection theorems \n\nAbstract: Restriction theory s tudies functions whose Fourier transforms are supported on some curved man ifold in R^n (for example\, solutions to the linear Schrodinger equation o r to the wave equation). Projection theorems study the Hausdorff dimension of fractal sets under orthogonal projections from R^n to its subspaces. W e will survey some recent works in both fields and discuss their interacti ons.\n DTSTART:20250922T171500Z DTEND:20250926T171500Z SUMMARY:Nirenberg Lectures in Geometric Analysis URL:https://www.mcgill.ca/mathstat/channels/event/nirenberg-lectures-geomet ric-analysis-366869 END:VEVENT END:VCALENDAR