[geometry-ml:05113] Higher Algebra in Geometry (7/31 - 8/10, Hiro Lee Tanaka 氏) のお知らせ

[Taketo Sano]

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日時: 2023年7月31日(月) - 8月10日(木) (8日間)
講演者: Hiro Lee Tanaka 氏  (Assistant Professor, Department of Mathematics, Texas State University, USA)
会場: 理研 iTHEMS 和光キャンパス 359 セミナー室 ／ Zoom

題目: Higher Algebra in Geometry

概要: In these lectures, we will shed light on modern tools of higher algebra, where the traditional structures of algebra yield themselves only after controlled deformations. We will introduce infinity-categories, spectra, operads, and other standard tools of the last decade. The main applications will be to encode various higher-algebraic structures that inevitably arise in, and shed light on, geometry and topology. If time permits, we will illustrate how spectra naturally arise in geometric invariants.

The audience is imagined to consist of mathematicians interested in applications of infinity-categorical tools -- so a broad range of geometers (including topologists) and algebraists. From Lecture Two onward, I will assume basic knowledge of algebraic topology (e.g., the material of Hatcher) and homological algebra.

These lectures will be held between July 31 and August 10, each from 13:30 to 15:00, for a total of 8 lectures.

1st Week: Jul 31(mon), Aug 1(tue) - 3(thu)
- Introduction to ideas of higher algebra in geometry, for a general audience.
- Introduction to infinity-categories and to spectra.

2nd Week: Aug 7(mon) - 10(thu)
- Examples in geometry and topology, including invariants of Legendrian links and generating functions.
- Future Directions.

詳細: https://ithems.riken.jp/en/events/higher-algebra-in-geometry
参加登録: https://forms.gle/X4S67XpVt1STYyrZ7

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佐野岳人

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