REMOLD unites the efforts of 9 doctoral candidates (DC) in order to pursue the following research goals under the supervision of the REMOLD PI’s.
Work Project A: Around the motivic Satake Equivalence
Zhen Huang (DC1), based in Padova (Italy), will work on a derived motivic Satake equivalence. Planned secondments: Nijmegen, Darmstadt.
Vukašin Mihajlović (DC2), based in Darmstadt (Germany), aims to construct central motivic sheaves in the context of twisted groups. Planned secondments: Padova (special semester), Louisiana
Thomas Karamanis (DC3), based in Milano (Italy), aims to lift the Satake equivalence to rigid analytic motives. Planned secondments: Padova (special semester), Darmstadt.
Work Project B: Motives of stacks of bundles
Ilan Zysman (DC4), based in Padova (Italy), seeks to compute the category of Tate motives on the affine Grassmannian. Planned secondments: Clermont-Ferrand, Louisiana.
Andrea Bignami (DC5), based in Nijmegen (Netherlands), aspires to compute motives of stacks of principal bundles on curves. Planned secondments: Padova (special semester), Darmstadt.
Work Project C: Intersection cohomology of minimally compactified Shimura varieties
Michał Mrugała (DC6), based in Lyon (France) will study the intersection cohomology of minimal compactifications of Shimura varieties. Planned secondments: Padova (special semester), Milano.
Work Project D: K-motives, Endoscopy and Soergel’s Conjecture
Antoine Labelle (DC7), based in Bonn (Germany) works on endoscopy for K-motives on the Hecke stack. Planned secondments: Padova (special semester), Freiburg, Lyon.
Leonardo Colombo (DC8), based in Lyon (France) aims to develop a formalism for non-homotopy invariant K-motives. Planned secondments: Padova (special semester), Freiburg, Lyon.
Ayman Toufik (DC9), based in Freiburg (Germany) will investigate representations and K-motives on Langlands parameters. Planned secondments: Padova (special semester), Lyon, Bonn.