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math.CV2026
The Carathéodory metric on Teichmüller space of genus two surface
Kejie Lin, Weixu Su
Let $\Tei_{g,n}$ be the Teichmüller space of Riemann surfaces of genus with marked points. It is conjectured that the Teichmüller and Carathéodory metrics coincide on a Tei…
math.AG2026
On the excursion algebra
Dennis Gaitsgory, Kevin Lin, Wyatt Reeves
The excursion algebra associated to a scheme X over a finite field and a reductive group G is the algebra of global functions on the stack of arithmetic G-local systems on X. When…