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일정시작 2021-05-14
일정종료 2021-06-11
배경색상 #33BBFF
반복주기 7
반복단위 1.일(단위)

일시:  5월 14일 (금)  15:00 ~ 17:00    

          5월 21일 (금)  14:00 ~ 16:00  

          5월 28일 (금)  10:00 ~ 12:00   

          6월   4일 (금)  14:00 ~ 16:00   

          6월 11일 (금)  14:00 ~ 16:00 

 

장소:  Online (Zoom)

제목:   Introduction to derived categories

연사:  조창연 박사 (서울대 QSMS)

 

Abstract
The theory of derived categories developed by Verdier (and Grothendieck) provides a convenient language for working with many constructions in homological algebra. Ever since its origin in algebraic geometry, it has proven to be a valuable tool in many areas of mathematics such as microlocal analysis, D-modules, and representation theory, to name a few. The main goal of this series of talks is to explain some basic constructions of derived categories. After a brief review of the notion of abelian categories, we’ll focus our attention on triangulated categories and their localizations, and the construction of derived functors. There are many references available, and here are a couple for the convenience of participants (however, it would be sufficient for interested participants to read Chapter 1 of Weibel’s book):

Reference

Daniel Huybrechts, Fourier-Mukai Transforms in Algebraic Geometry
Bernhard Keller, Derived Categories and Their Uses
Amnon Neeman, Triangulated Categories
Richard P. Thomas, Derived Categories for the Working Mathematician
Charles A. Weibel, An Introduction to Homological Algebra

 

 

 


List of Articles
No. Subject Author Date Views
Notice QSMS Mailing List Registration qsms 2021.09.09 36758
136 [QSMS Monthly Seminar] A survey on symplectic fillings and Milnor fibers of a normal complex surface singularity qsms 2021.03.26 18441
135 [Seminar 2021.04.02] Quantum affine analog of Kazhdan-Lusztig positivity for non-simply laced types via simply laced types qsms 2021.03.30 24204
134 [Seminar 2021.04.29] A realization of type A finite $W$-(super)algebra in terms of (super) Yangian qsms 2021.04.09 18611
133 [Seminar 2021.04.23] Quiver Hecke algebras and unipotent quantum coordinate ring qsms 2021.04.09 18504
» [Seminar 05.14, 05.21, 05.28, 06.04] Introduction to derived categories qsms 2021.04.16 32317
131 [Seminar 2021.04.02] CM congruence and the derivatives of p-adic L-functions for imaginary quadratic fields qsms 2021.04.19 18917
130 [Seminar 2021.04.16] Hecke system of harmonic Maass functions and applications to modular curves of higher genera qsms 2021.04.19 22493
129 [2021 KMS Spring Meeting] Related talks qsms 2021.04.30 21573
128 [Seminar 2021.05.06] Arithmetic properties of weakly holomorphic modular functions of arbitrary level qsms 2021.05.04 18528
127 [Seminar 2021.05.11] Knotted embeddings qsms 2021.05.06 18430
126 [Seminar 2021.05.12] Equivariant symplectic homology qsms 2021.05.06 19528
125 [QSMS Monthly Seminar] Recoverable lattices qsms 2021.05.07 18169
124 [Seminar 2021.05.14] On some results about non-holomorphic Jacobi forms qsms 2021.05.11 17770
123 [Seminar 2021.05.13] Convergence of harmonic maps via regular nodes qsms 2021.05.12 17922
122 [Seminar 2021.05.18] The coherent-constructible correspondence for toric projective bundles qsms 2021.05.17 17930
121 [Seminar 2021.05.28] Ramanujan continued fractions of order sixteen qsms 2021.05.21 18918
120 [Seminar 2021.06.15, 06.22] Cluster algebras with a view toward the Jacobian conjecture qsms 2021.05.28 18723
119 [QSMS Monthly Seminar] Symmetric functions and super duality qsms 2021.05.28 18323
118 [Seminar 2021.06.11] The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma qsms 2021.05.28 18190
117 [QSMS Monthly Seminar] Closed orbits and Beatty sequences qsms 2021.06.24 18301
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