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##
The Cohomology of GL_{n}

*Günter Harder and A. Raghuram*

### in Eisenstein Cohomology for GL and the Special Values of Rankin-Selberg L-Functions: (AMS-203)

- Published in print:
- 2019
- Published Online:
- September 2020
- ISBN:
- 9780691197890
- eISBN:
- 9780691197937
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691197890.003.0002
- Subject:
- Mathematics, Number Theory

This chapter addresses the cohomology of GLn. It first discusses the adèlic locally symmetric space. Next, the chapter turns to the highest weight modules 𝓜λ and the sheaves 𝓜̃λ. From there, the ... More

## Elliptic and hypoelliptic orbital integrals

*Jean-Michel Bismut*

### in Hypoelliptic Laplacian and Orbital Integrals (AM-177)

- Published in print:
- 2011
- Published Online:
- October 2017
- ISBN:
- 9780691151298
- eISBN:
- 9781400840571
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691151298.003.0005
- Subject:
- Mathematics, Geometry / Topology

This chapter constructs semisimple orbital integrals associated with the heat kernel for the hypoelliptic Laplacian ℒbX. By making b → 0, the chapter shows that the corresponding supertrace coincides ... More

## Eisenstein Cohomology for GL and the Special Values of Rankin-Selberg L-Functions: (AMS-203)

*Anantharam Raghuram and Günter Harder*

- Published in print:
- 2019
- Published Online:
- September 2020
- ISBN:
- 9780691197890
- eISBN:
- 9780691197937
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691197890.001.0001
- Subject:
- Mathematics, Number Theory

This book studies the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of ... More

## Boundary Cohomology

*Günter Harder and A. Raghuram*

### in Eisenstein Cohomology for GL and the Special Values of Rankin-Selberg L-Functions: (AMS-203)

- Published in print:
- 2019
- Published Online:
- September 2020
- ISBN:
- 9780691197890
- eISBN:
- 9780691197937
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691197890.003.0004
- Subject:
- Mathematics, Number Theory

This chapter discusses some relevant details of the cohomology of the boundary of the Borel–Serre compactification of the locally symmetric space SGKf. It first illustrates a spectral sequence ... More

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