Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Advisors: Bao Chau Ngo Committee members: Tsao-Hsien Chen; Bao Chau Ngo.
Özet:
We study basic geometric properties of Kottwitz-Viehmann varieties, which are certain group analogue of affine Springer fibers. We establish a dimension formula and formulate a conjecture relating the number of irreducible components of Kottwitz-Viehmann varieties to certain weight multiplicities. The conjecture is proved in the case of split conjugacy class.