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In cosmology, a basic explanation of the observed concentration of mass in singular structures is provided by the Zeldovich approximation, which takes the form of free-streaming flow for perturbations of a uniform Einstein-de Sitter universe in co-moving coordinates. The adhesion model…
definition of crystalline cohomology, functoriality [BO, 5.4-19], and connections [BO, 2.1-2.10].
Lusztig's theory of canonical bases reveals a remarkably rigid and positive algebraic structure on quantum groups and their modules. In symmetric types, it is known that the structure constants for multiplication in the negative part $U^-$, as well as for the action of Chevalley generators $E_i…
The "fundamental curve" of arithmetic over nonarchimedean local fields is the Fargues–Fontaine curve. You'd think the "fundamental curve" of arithmetic over global function fields is... just the associated curve over F_q. In this talk, I will instead advocate for a different "curve", in the…
HPD-stratifications [BO, 4.1-4.4], and crystals [BO, 6.1-6.6]