David Kazhdan

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20232026

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3 papers · 1 filter

math.AG2024

Superperiods and superstring measure near the boundary of the moduli space of supercurves

Giovanni Felder, David Kazhdan, Alexander Polishchuk

We study the behavior of the superperiod map near the boundary of the moduli space of stable supercurves and prove that it is similar to the behavior of periods of classical curves…

math.AG2024

Schwartz $κ$ -densities on the moduli stack of rank $2$ bundles near stable bundles

David Kazhdan, Alexander Polishchuk

Let $C$ be a curve over a non-archimedean local field of characteristic zero. We formulate algebro-geometric statements that imply boundedness of functions on the moduli space of s…

math.RT2024

Automorphic functionals for the minimal representations of groups of type $D_{n}$ and $E_{n}$

Nadya Gurevich, David Kazhdan

Let $G$ be a split simply-connected group of type $D$ or $E$ . The minimal automorphic representation $Π$ of $G (A)$ admits a realization on a space of functions $\mathcal S(…

Superperiods and superstring measure near the boundary of the moduli space of supercurves

Schwartz κ-densities on the moduli stack of rank 2 bundles near stable bundles

Automorphic functionals for the minimal representations of groups of type Dn​ and En​

Schwartz $κ$ -densities on the moduli stack of rank $2$ bundles near stable bundles

Automorphic functionals for the minimal representations of groups of type $D_{n}$ and $E_{n}$