Avraham (Rami) Aizenbud

אברהם (רמי) איזנבוד

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The versions here are sometimes more updated than other sources. However, they might be changed frequently, so please do not  use them for citation.

PhD Thesis

Gelfand pairs and invariant distributions   2010  

Published and Accepted Papers

No.

Title

Joint with

Journal

arXiv

Year

26. Hausdorffness for Lie algebra homology of Schwartz spaces [pdf, tex] Dmitry Gourevitch, Bernhard Kroetz, Gang Liu Mathematische Zeitschrift 283/3 (2016) 1403.5917 2014
25. Holonomicity of spherical characters and applications to multiplicity bounds [pdf, tex] Dmitry Gourevitch, Andrey Minchenko Selecta Mathematica Journal 22/4 (2016) 1501.01479 2014
24.

Z-finite distributions on p-adic groups [pdf, tex]

Dmitry Gourevitch, Eitan Sayag2

Advances in Mathematics 285/5 (2015), 1405.2540 2014
23.

Representation Growth and Rational Singularities of the Moduli Space of Local Systems [pdf, tex]

Nir Avni

Inventiones mathematicae 204/1 (2016) 1307.0371 2013
22. Vanishing of certain equivariant distributions on p-adic spherical spaces, and non-vanishing of spherical Bessel functions [pdf, tex] Dmitry Gourevitch, Alexander Kemarsky IMRN 2015/18 (2015) 1404.3383 2014
21. Vanishing of certain equivariant distributions on spherical spaces [pdf, tex] Dmitry Gourevitch Mathematische Zeitschrift 279/3-4 (2015) 1311.6111 2013
20. Twisted homology for the mirabolic nilradical [pdf, tex] Dmitry Gourevitch, Siddhartha Sahi Israel Journal of Mathematics 206/1 (2015) 1210.5389 2012
19. Derivatives for representations of GL(n, R) and GL(n,C) [pdf, tex] Dmitry Gourevitch, Siddhartha Sahi Israel Journal of Mathematics 206/1 (2015) 1109.4374 2011
18. Wave front set of Fourier transform of algebraic measures [pdf, tex] Vladimir Drinfeld Israel Journal of Mathematics 207/2 (2015) 1212.3630 2011
17.

Disjoint pairs for GL(n,R) and GL(n,C) [pdf]

Omer Offen, Eitan Sayag

Comptes Rendus Mathematique 350/1-2 (2012)

 

2011
16. Appendix D of [FLO]: Distinguished representations in the Archimedean case [pdf] Erez Lapid Publications Mathématiques de L'IHÉS 115/1 (2012)   2010
15.

A quantum analogue of Kostant's theorem for the general linear group [pdf, tex]

Oded Yacobi Journal of Algebra (2011)

1007.0133

2010
14.

Smooth Transfer of Kloosterman Integrals (the Archimedean case) [pdf, tex]

Dmitry Gourevitch American Journal of Mathematics 135/1 (2013)

1001.2490

2009
13.

Multiplicity Free Jacquet Modules [pdf, tex]

Dmitry Gourevitch Canadian Mathematical Bulletin 55 (2012) 

0910.3659

2009
12. Spherical pairs over close local fields [pdf, tex] Nir Avni, Dmitry Gourevitch Commentarii Mathematici Helvetici 87/4 (2012)

0910.3199

2009
11. Uniqueness of Shalika functionals (the Archimedean case) [pdf, tex] Dmitry Gourevitch, Herve Jacquet

Pacific Journal of Mathematics, 243/2 (2009)

0904.0922

2009
10. Generalized Harish-Chandra descent, Gelfand pairs and an Archimedean analog of Jacquet-Rallis' Theorem [pdf, tex]

Dmitry Gourevitch1

Duke Mathematical Journal, 149/3 (2009)

0812.5063 2008
9. A partial analog of the integrability theorem for distributions on p-adic spaces and applications [pdf, tex]

 

Israel Journal of Mathematics 193/1 (2013) 0811.2768 2008
8. Invariant distributions on non-distinguished nilpotent orbits with application to the Gelfand property of (GL(2n,R),Sp(2n,R)) [pdf, tex]

Eitan Sayag

Journal of Lie Theory 22/1 (2012) 0810.1853 2008
7. Multiplicity one theorem for (GL(n+1,R), GL(n,R)) [pdf, tex]

Dmitry Gourevitch

Selecta Mathematica Journal, 15/2 (2009)

0808.2729 2008
6. Some regular symmetric pairs [pdf, tex]

Dmitry Gourevitch

Transactions of the AMS, 362/7 (2010) 0805.2504

2008

5.

De-Rham theorem and Shapiro lemma for Schwartz functions on Nash manifolds [pdf, tex]

Dmitry Gourevitch

  Israel Journal of Mathematics, 177 (2010)

0802.3305

2008

4. (O(V+F), O(V)) is a Gelfand pair for any quadratic space V over a local field F [pdf, tex]

Dmitry Gourevitch, Eitan Sayag

Mathematische Zeitschrift, 261/2 (2009)

0711.1471

2008

3.

Multiplicity one Theorems [pdf, tex]

Dmitry Gourevitch, Steve Rallis, Gerard Schiffmann

Annals of Mathematics, 172/2 (2010)

0709.4215

2007

2.

(GL(n+1,F),GL(n,F)) is a Gelfand pair for any local field F [pdf, tex]

Dmitry Gourevitch, Eitan Sayag  

Compositio Mathematica, 144/6 (2008)

0709.1273

2007

1.

Schwartz functions on Nash manifolds [pdf, tex]

Dmitry Gourevitch

IMRN, 2008/5 (2008)

0704.2891

2007

Preprints

No.

Title

Joint with

arXiv

Year

34. Homological multiplicities in representation theory of p-adic groups [pdf] Eitan Sayag   2017
33. Invariant generalized functions supported on an orbit [pdf, tex] Dmitry Gourevitch 1701.00411 2016
32. Autoequivalences of the category of schemes [pdf] Adam Gal 1611.07771 2016
31. Bounds on multiplicities of spherical spaces over finite fields [pdf, tex] Nir Avni 1609.07456 2016
30. A short proof of Hironaka's Theorem on freeness of some Hecke modules [pdf] Eitan Sayag   2016
29. Relative Frobenius Formula [pdf] Nir Avni, Yoav Krauz 1603.06190 2016
28. Counting points of schemes over finite rings and counting representations of arithmetic lattices [pdf, tex] Nir Avni 1502.07004 2014
27.

Functoriality in Morse theory on closed manifolds [pdf, tex]

Frol Zapolsky

0805.2131 2008

Reports

No.

Title

Joint with

Reported in

Report on

Year

36.

Multiplicity one theorem in representation theory [pdf, tex, zip]

Dmitry Gourevitch Jahrbuch

[3, 7]

2009

35.

Schwartz functions on Nash manifolds and applications to representation theory [pdf, tex]

  Oberwolfach Reports [1,2,5]

2007

Preprints Covered by Other Publications

No.

Title

Joint with

arXiv

Covered by

Year

40. On a Cohen-Macaulay Property of Spherical Varieties [pdf] Eitan Sayag   Partially covered by [30,34] 2014
39.

An archimedean analog of Jacquet - Rallis theorem [pdf, tex]

Dmitry Gourevitch

0803.3397

[10]

2008

38.

Generalized Harish-Chandra descent and applications to Gelfand pairs [pdf, tex]

Dmitry Gourevitch1

0803.3395

[10]

2008

37.

A proof of the multiplicity one conjecture for GL(n) in GL(n+1) [pdf, tex]

Dmitry Gourevitch

0707.2363

[3]

2007


References

[FLO] B. Feigon, E. Lapid, O. Offen. On representations distinguished by unitary groups, Publications Mathématiques de L'IHÉS 115/1 (2012).


1. with an appendix Joint with Dmitry Gourevitch and Eitan Sayag.

2. with an appendix Joint with Dmitry Gourevitch, Eitan Sayag and Alexander Kemarsky.