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作者 Gjoneski, Oliver
書名 Multi-Variable Period Polynomials Associated to Cusp Forms
國際標準書號 9781124608457
book jacket
說明 140 p
附註 Source: Dissertation Abstracts International, Volume: 72-07, 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 well-rounded 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 well-rounded retract. When combined with the suitable cell-generating 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 72-07B
主題 Applied Mathematics
Mathematics
0364
0405
Alt Author Duke University. Mathematics
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