Description:We will give an introduction course to the research field called Geometric Langlands Theory (GLT).Roughly speaking, GLT is the analogue of the classical Number-theoretical Langlands Theory under the function field analogy, but the mathematical structures studied in GLT are often “1-categorical level higher” than its number-theoretical counterpart. Typical such structures include: ...
Description: This is an introductory course to contact topology. We will give a first glance at topics in contact topology and its relationship with peripheral subjects such as knot theory and symplectic topology. The course will be suitable for advanced undergraduate students and PhD students.Reference:Geiges, An Introduction to Contact TopologyKashiwara and Schapira, Sheaves on Manifold