Introduction to sheaf theory and microlocal geometry

任课教师:李鹏辉
时间: 每周一、周三13:30-15:05, 2019-9-9 ~ 12-4
地点:清华大学近春园西楼第三会议室

课程描述

We shall discuss sheaf theory from the perspective of microlocal geometry. Topics include basic higher category theory, intersection homology, local system, constructible sheaves, perverse sheaves, microlocal support and some applications to geometric representation theory.

预备知识

Basic knowledge on algebraic topology is helpful.

参考资料

[1] Kashiwara, M. and Schapira, P. Sheaves on Manifolds Vol. 292. Springer Science & Business Media, 2013;

[2] Goresky, M. and MacPherson, R. Stratified Morse Theory. Springer, Berlin, Heidelberg, 1988;

[3] Massey, D. Notes on perverse sheaves and vanishing cycles;

[4] Lurie, J. Higher Topos Theory (AM-170). Vol. 189. Princeton University Press, 2009.

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