說明 
140 p 
附註 
Source: Dissertation Abstracts International, Volume: 7207, Section: B, page: 

Adviser: Leslie D. Saper 

Thesis (Ph.D.)Duke University, 2011 

My research centers on the cohomology of arithmetic varieties. More specifically, I am interested in applying analytical, as well as topological methods to gain better insight into the cohomology of certain locally symmetric spaces. An area of research where the intersection of these analytical and algebraic tools has historically been very effective, is the classical theory of modular symbols associated to cusp forms. In this context, my research can be seen as developing a framework in which to compute modular symbols in higher rank 

An important tool in my research is the wellrounded retract for GLn: In particular, in order to study the cohomology of the locally symmetric space associated to GL3 more effectively I designed an explicit, combinatorial contraction of the wellrounded retract. When combined with the suitable cellgenerating procedure, this contraction yields new results pertinent to the notion of modular symbol I am researching in my thesis 

School code: 0066 
Host Item 
Dissertation Abstracts International 7207B

主題 
Applied Mathematics


Mathematics


0364


0405

Alt Author 
Duke University. Mathematics

