@PhdThesis{duepublico_mods_00081953,
  author = 	{Gaillard, Virginie},
  title = 	{Modular representation theory and sheaves on the Bruhat--Tits building},
  year = 	{2024},
  month = 	{May},
  day = 	{13},
  abstract = 	{Let {\$}G{\$} denote the group of rational points of a split connected reductive group over a nonarchimedean local field. Furthermore, let {\$}R{\$} denote a quasi-Frobenius ring and let {\$}H{\$} denote the pro-{\$}p{\$} Iwahori-Hecke algebra of {\$}G{\$} over {\$}R{\$}. Inspired by the work of Schneider and Stuhler, Schneider, and Kohlhaase we construct a fully faithful functor from the category of {\$}H{\$}-modules into that of {\$}G{\$}-equivariant sheaves of {\$}R{\$}-modules on the Bruhat-Tits building {\$}{\backslash}mathscr{\{}X{\}}{\$} of {\$}G{\$}. We study the cohomology (with compact support) of our sheaves in terms of the homology of {\$}G{\$}-equivariant coefficient systems, using Verdier duality on the building.},
  doi = 	{10.17185/duepublico/81953},
  url = 	{https://duepublico2.uni-due.de/receive/duepublico_mods_00081953},
  url = 	{https://doi.org/10.17185/duepublico/81953},
  file = 	{:https://duepublico2.uni-due.de/servlets/MCRFileNodeServlet/duepublico_derivate_00081468/Diss_Gaillard.pdf:PDF},
  language = 	{en}
}