Global Special Lecture 1 on Mathematics and Mathematical Sciences by Professor Adeel Khan (Academia Sinica) will be held as follows. If you would like to attend, please apply using the Google form below.

Date and time: April 8, 9, 10, 15, and 16, 2025, 14:00-16:00 each day

Location: Graduate School of Science, Building 3, Room 127, 1st floor

Title: Fourier transforms in derived algebraic geometry

Summary: The theory of constructible sheaves on manifolds admits a powerful extension called microlocal sheaf theory, developed by Kashiwara and Schapira. The study of categorical invariants in shifted symplectic geometry motivates us to pursue an extension of microlocal sheaf theory to the context of derived algebraic geometry. In this lecture series we will develop one central component of such an extension, namely the Fourier-Sato transform for constructible sheaves, which in this context will exhibit a surprising duality between derived and stacky phenomena. At the same time, we will also see how to lift this construction to other sheaf theories, such as l-adic sheaves, mixed Hodge modules, and even motivic sheaves (in arbitrary characteristic).

The lectures are intended to be accessible to graduate students in algebraic or symplectic geometry, and in particular will not assume any background on derived algebraic geometry or the six functor formalism.

Registration required: Those who wish to attend the lectures should apply via Google Form. Please access via the QR code or the URL below.

Application URL: https://forms.gle/S7y2U16SsSJywSGAA

Deadline: Thursday, April 3

※ Mathematics and Mathematical Sciences Global Lectures III is a core subject in the Mathematics and Mathematical Sciences Innovation Human Resource Development Strengthening Course.

※ To take Mathematics and Mathematical Sciences Global Lectures III, you must register for the course on KULASIS.

The registration period for first-semester courses is Thursday, April 17th and Friday, April 18th.

※ You can attend the lectures even if you are not registered (only for students of this university. Google Form application is required).

Four special lectures will be given by lecturers in Global Lectures on Mathematics and Mathematical Sciences III.
For details on each special lecture, including abstracts, please see the course homepage
https://www.math.kyoto-u.ac.jp/ja/ktgu/courses.