Local theta correspondence - Part 3/3
By Chen-Bo Zhu
Appears in collection : 2025 - T1 - Representation theory and noncommutative geometry
This mini-course on local theta correspondence will be mainly concerned with the Archimedean theory, and will consists of three lectures. In the first lecture, I will explain its basic theory, including the Howe duality theorem, and the conservation relations. I will also discuss some examples. In the second lecture, I will explain how some of the basic invariants of representations behave under the local theta correspondence. The final lecture will be about applications to unitary representation theory.
