|Introduction to microlocal sheaf theory and applications|
|Time：||Tue/Thu 13:00-14:50 lecture on June 11 (Tue) will be change to June 8 (Sat)|
|Instructor：||David Treumann [Boston College]|
|Place：||Conference Room 4, Floor 2, Jin Chun Yuan West Building|
Description: The first lecture will be an introduction to sheaf theory, especially how to compute cohomology (and generalizations such as Exts, pushforwards and higher pushforwards) on simplicial complexes, and how to arrange this information into a derived category. The second lecture will discuss "constructibility" of sheaves at a deeper level, i.e. Whitney stratifications, and will explain how to analyze sheaves Morse-theoretically and "microlocally." The third and fourth lectures will discuss how to approach mirror symmetry from this point of view. The fifth and sixth lectures will discuss how to approach knot theory from this point of view. It is possible the later four lectures will be rearranged.