scholarly journals On the Lefschetz trace formula for Lubin–Tate spaces

2016 ◽  
Vol 16 (1) ◽  
Author(s):  
Xu Shen
Keyword(s):  
Trace Formula ◽  
Unitary Group ◽  
Locally Finite ◽  
Lefschetz Trace Formula ◽  
Cell Decompositions ◽  
Finite Cell

AbstractWe give a new proof of the Lefschetz trace formula for Lubin-Tate spaces. Our proof is based on the locally finite cell decompositions of these spaces and on Mieda’s version of the Lefschetz trace formula for certain open adic spaces. This proof is rather different from the proofs of Strauch and Mieda, and it might be generalized to other Rapoport-Zink spaces as soon as there exist suitable cell decompositions. For example, in another paper we have proved a Lefschetz trace formula for some unitary group Rapoport-Zink spaces by using similar ideas as here.

LEFSCHETZ TRACE FORMULA AND BRST

1989 ◽  
Vol 04 (20) ◽  
pp. 1891-1897 ◽  
Author(s):  
A.S. SCHWARZ
Keyword(s):  
Trace Formula ◽  
Constrained System ◽  
Lefschetz Trace Formula

The reduction of quantum constrained system to the unconstrained system with ghosts is analyzed.

The Trace Formula for BunG(X)

2019 ◽  
pp. 239-308
Author(s):  
Dennis Gaitsgory ◽  
Jacob Lurie
Keyword(s):  
Trace Formula ◽  
Algebraic Curve ◽  
Group Scheme ◽  
Affine Group ◽  
Generic Fiber ◽  
Prove Theorem ◽  
Lefschetz Trace Formula ◽  
Moduli Stack ◽  
Smooth Affine

This chapter aims to prove Theorem 1.4.4.1, which is formulated as follows: Theorem 5.0.0.3, let X be an algebraic curve over F q and let G be a smooth affine group scheme over X. Suppose that the fibers of G are connected and that the generic fiber of G is semisimple. Then the moduli stack BunG(X) satisfies the Grothendieck–Lefschetz trace formula. However, Theorem 5.0.0.3 cannot be deduced directly from the Grothendieck–Lefschetz trace formula for global quotient stacks because the moduli stack BunG(X) is usually not quasi-compact. The strategy instead will be to decompose BunG (X) into locally closed substacks BunG(X)[P,ν‎] which are more directly amenable to analysis.

Relative Kloosterman Integrals For Gl(3): III

1993 ◽  
Vol 45 (6) ◽  
pp. 1211-1230 ◽  
Author(s):  
Zhengyu Mao
Keyword(s):  
Symmetric Space ◽  
Number Field ◽  
Trace Formula ◽  
Unitary Group ◽  
Quadratic Extension

AbstractLet E be a quadratic extension of a number field F with Galois conjugation σ, G’ the quasi-split unitary group in three variables, G the group GL(3, E). We let S be the space of the matrices s in G such that σ(s)s = e. One conjectures a comparison identity between the relative Kuznietsov trace formula for the symmetric space S and the ordinary Kuznietsov trace formula for the group G’ (See [10]). We prove the corresponding “fundamental lemmas”.

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