Taiwang Deng

activity

20192021

collaborators

4 papers

math.NT2021

Poisson summation for Hankel transforms

Taiwang Deng

In this article we study the Poisson summation for Hankel transform in the sense of Braverman-Kazhdan-Ngo in the special case of $L$ -embedding $ρ : G L_{1} \to G L_{2}$ . We view su…

math.RT2020

The characteristic cycles and semi-canonical bases on type $A$ quiver variety

Taiwang Deng, Bin Xu

In this article we study a conjecture of Geiss-Leclerc-Schr{ö}er, which is an analogue of a classical conjecture of Lusztig in the Weyl group case. It concerns the relation between…

math.NT2019

Torsions in Cohomology of $SL_{2} (Z)$ and Congruence of Modular Forms

Taiwang Deng

We describe torsion classes in the first cohomology group of $SL_{2} (Z)$ . In particular, we obtain generalized Dickson's invariants for p-power polynomial rings. Seco…

math.RT2019

Symmetrization of representations of $G L_{N}$

Taiwang Deng

In this article, we develop a process to symmetrize the irreducible admissible representation of $G L_{N} (Q_{p})$ , as a consequence we obtain a more geometric understanding of…

Poisson summation for Hankel transforms

The characteristic cycles and semi-canonical bases on type A quiver variety

Torsions in Cohomology of SL2​(Z) and Congruence of Modular Forms

Symmetrization of representations of GLN​

The characteristic cycles and semi-canonical bases on type $A$ quiver variety

Torsions in Cohomology of $SL_{2} (Z)$ and Congruence of Modular Forms

Symmetrization of representations of $G L_{N}$