2091
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First week: January 6 ~ 7, 2025, Room 101, Astro-Math Building, NTU
Second week: January 20 ~ 21, 2025, O301 (三樓會議室), Dept. of Mathematics, NCKU
Lecture notes

Goal: The derived category is an important object in homological algebra and has wide applications in algebraic geometry. TIMS and NCKU will be hosting a four-day seminar on the foundation of derived category and related topics. The goal of the seminar is to review basic knowledge and techniques for working with derived categories, with an emphasis on the derived categories of coherent sheaves on algebraic varieties.

Content:
1. The six-functor formalism
2. t-structure and perverse sheaves
3. D-equivalences and K-equivalences
4. Matrix factorization category
5. Derived category and motives

Jan. 6		09:30 ~ 10:30 王羿璁 (NCKU) Triangulated categories
		10:45 ~ 11:45 莊家華 (NTU) Derived categories and derived functors
		13:00 ~ 14:00 陳宗震 (NTU) Way-out functors and injective sheaves
		16:00 ~ 17:00 李宗儒 (NCKU) t-structure and perverse sheaves (I)
Jan. 7		09:00 ~ 10:00 王羿璁 (NCKU) The trace map and duality theorem for projective spaces
		10:15 ~ 11:15陳宗震 (NTU) Duality for finite morphisms and f^! for embeddable maps
		11:30 ~ 12:30莊家華 (NTU) The trace map and duality theorem for projective morphisms
		14:00 ~ 15:00 李宗儒 (NCKU) t-structure and perverse sheaves (II)

Organizers: Tsung-Ju Lee (NCKU) and Hui-Wen Lin (NTU & TIMS)