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: ...
IntroductionThe notion of height was invented by André Weil to prove the famous Mordell's conjecture (if A is an abelian variety defined over a number field K, then A(K) is a finitely generated abelian group). In this class, we will study some properties of the logarithmic, absolute Weil height. We will also discuss about open problems related to this useful tool. At the end, we will construct ...