| ???
|
???
|
????
|
????
|
| ????
|
???????? ??????
|
????? ?????? ?????
|
?? ????? ???? ?? ??
?????? ?????
?
????? ?????
? ???????? ? ???? ?????? ??? ?? ?????? ?????? ???????? ????????.
|
| ???? ?????? ????
|
?????
|
???? ?????? ??? ??
??????? ?????
?
??????? ?????
? ?
?????? ??? ??????? ?????
.
|
| ????
|
??? ?????
|
??????
|
?? ????? ???? ?? ?? ?????? ???????
?????????
?? ???
??????? ????????? ???????
.
|
| ????? ???
|
??????
|
???? ?????? ???????
????? ????
??
??????? ?????
.
|
| ????
|
????? ??????
|
??????
|
?? ????? ????????? ?? ??
????????? ????
? ?????? ??? ??????? ??????
??? ???????
? ? ??????? ?? ??? ?? ????????????.
|
| ????? ??????????
|
????? ?????? ?????
|
???? ???????? ???? ? ???? ??
?????? ?????
?
????? ????????
?
????? ???????
?
?????? ???????
.
|
| ????
|
???? ??????
|
??????
|
???? ???????? ???? ? ????? ?????? ???? ??????? ??
????? ?????? ?????
.
|
| ?????? ???????
|
??????
?????? ????? ??????
|
???? ?????? ???? ??
????? ????
? ?? ?????? ?? ??
??? ???????
.
|
| ????
|
??????? ?????
|
?????? ????? ??????
|
?? ???? ??? ????? ?? ??
???????? ????
?
????? ?????????
?
???????? ?????????
.
|
| ???? ?????
|
????? ?????? ?????
|
for his fundamental contributions to
?????? ?????
and its applications.
|
| ????/?
|
?????-?? ???
|
?????? ????? ??????
|
for outstanding contributions to global
????? ?????????
? which have profoundly influenced all mathematics.
|
| ?? ?????
|
????????
|
for his numerous contributions to
????? ?????
?
????????
?
????????
?
????? ?????????
and
?????? ?????
? and for personally stimulating mathematicians the world over.
|
| ????/?
|
???????? ???????
|
????
|
for his outstanding contributions to the study of
complex manifolds
and
?????? ????
.
|
| ???? ????
|
?????
?????? ????? ??????
|
for initiating many, now classic and essential, developments in
?????? ????????? ?? ?????? ????
.
|
| ????
|
?????? ???????
|
??????
?
?????? ????? ??????
|
for his fundamental work in
???????? ????
and
??? ???????
.
|
| ???? ?????
|
????
|
for his profound and original work on
????? ?????
and on
discrete groups
and
automorphic forms
.
|
| ????
|
????? ????
|
????
|
for his fundamental contributions to pure and applied
????? ????????
? especially the creation of the
?????? ??????
.
|
| ???? ????
|
????????
?????? ????? ??????
|
for his outstanding contributions to many areas of
?????? ?????
and
??????? ???????
.
|
| ????
|
??????? ??????????
|
?????
|
for outstanding work combining
????????
?
????? ????
and
????? ?????????
? and
????? ???? ?????
; and for his stimulation of mathematical cooperation and research.
|
| ???? ?????????
|
????
|
for fundamental work in modern analysis, in particular, the application of
pseudo-differential operators
and
Fourier integral operators
to linear
?????? ????????? ?? ?????? ????
.
|
| ????
|
?????? ???????
|
????????
|
for his groundbreaking work on
singular integral operators
and their application to important problems in
?????? ????????? ?? ?????? ????
.
|
| ??? ??????
|
?????? ????? ??????
|
for ingenious and highly original discoveries in
?????
? which have opened important new vistas in
????????
from the
algebraic
,
????? ?????
? and
differentiable
viewpoint.
|
| ????
|
????? ?? ?????
|
???????
|
for his innovating ideas and fundamental achievements in
?????? ????????? ?? ?????? ????
and
???? ???????
.
|
| ????? ?????????-??????
|
????? ?????? ?????
???????
?????? ????? ??????
|
for his fundamental contributions in the fields of
homogeneous
complex domains
,
discrete groups
,
????? ?????
and
automorphic forms
.
|
| ????
|
???????? ???? ???
|
|
| ????
|
?????? ????????
|
????
|
for his fundamental contributions to
?????? ?????
?
?????? ?????
?
quasi-conformal mappings
and
?????? ????
.
|
| ??? ???????
|
?????? ????? ??????
|
for his profound contributions to all aspects of
???? ??????
and connections with other branches of mathematics.
|
| ????
|
??????? ??????
|
?????
??????
|
for his revolutionary contributions to global
Riemannian
and
????? ?????????
?
???????? ????
?
geometric group theory
and the theory of
?????? ????????? ?? ?????? ????
;
|
| ??? ????
|
?????
??????
|
for his pioneering and fundamental contributions to the theory of the structure of algebraic and other classes of groups and in particular for the theory of
buildings
.
|
| ????/?
|
????? ????
|
?????
?????? ????? ??????
|
for his fundamental work on stability in
?????? ?????????
and his profound and influential contributions to nonlinear
?????? ?????????
.
|
| ????/?
|
????? ?????????
|
??????
|
for his path-blazing work and extraordinary insight in the fields of
????? ?????
?
automorphic forms
and
????? ????
.
|
| ????? ?????
|
????????
|
for spectacular contributions to
????? ?????
and related fields, major advances on fundamental conjectures, and for settling
???? ??? ????
.
|
| ????/?
|
???? ???
|
?????? ????? ??????
|
for his profound and innovative contributions, in particular to
???? ??????????????
?
????????
? and
acoustic
?????? ???
and to
?????? ??????
?
?????? ??????
?
?????? ????????
and
?????? ?????
.
|
| ????? ?. ??????
|
????? ?????? ?????
?????
?????? ????? ??????
|
for his fundamental contributions to mathematically rigorous methods in
?????? ?????
and the
????? ???????
of
?????? ????
and their applications in
?????
.
|
| ????
|
???????? ???? ???
|
|
| ????
|
????? ?????
|
????????
?????? ????? ??????
|
for his outstanding contributions to
????????
? theoretical
???? ??????
and
?????????? ?????????
.
|
| ????? ?. ?????
|
?????? ????? ??????
|
for his contributions to classical and
Euclidean Fourier analysis
and for his exceptional impact on a new generation of analysts through his eloquent teaching and writing.
|
| ????
|
????? ???
|
????????
?????? ????? ??????
|
for his deep discoveries in
????????
and
????? ?????????
and their applications to
Lie groups
,
????? ??????????
and
????? ?????
.
|
| ??? ???? ???
|
??????
|
for his many fundamental contributions to
????????
?
????? ????
?
???
? and
????? ?????
and for his inspirational lectures and writing.
|
| ????
|
???????? ??????
|
????? ?????? ?????
?????
|
for his deep and influential work in a multitude of areas of mathematics, including
?????? ????
?
?????? ?????????
? and
singularity theory
.
|
| ??????? ?????
|
???????
|
for his many fundamental contributions to
???? ?????
and
????? ?????????
? and their applications within other parts of mathematics.
|
| ????/?
|
????? ????
|
????
|
for his creation of
algebraic analysis
, including
hyperfunction
theory and
microfunction
theory,
holonomic quantum field theory
, and a unified theory of
???????
equations.
|
| ??? ???
|
?????? ????? ??????
|
for his creation of fundamental concepts in
????? ???? ?????
.
|
| ????
|
???????? ???? ???
|
|
| ????
|
?????? ????????
|
????? ?????? ?????
?????
|
for his monumental contributions to
???
? in particular to the theory of
????? (????)
in semi-simple
Lie groups
, and striking applications of this to
????? ???????
?
????? ?????
?
????? ?????
?
????????
? and
?????? (???????)
.
|
| ????? ???????
|
????? ?????? ?????
?????
|
for his fundamental and pioneering contributions to
???????? ????
and
???????? ?????????
? and to
????? ?????
? notably the introduction of
algebraic-geometric
methods.
|
| ????/?
|
????? ?????
|
?????? ????? ??????
|
for his groundbreaking contributions that have played a fundamental role in shaping
???????? ?????????
?
?????? ????
?
?????? ?????
? and other subjects in mathematics.
|
| ????? ???????????
|
?????? ????? ??????
???????
|
for his profound contributions to
????? ???????
?
????????
?
topological dynamics
, analysis on
symmetric spaces
and
????? ???????
.
|
| ????
|
??? ?????
|
?????
|
for his work on
mixed Hodge theory
; the
Weil conjectures
; the
Riemann-Hilbert correspondence
; and for his contributions to
????
.
|
| ????? ???????
|
?????? ????? ??????
|
for his work on variations of
Hodge structures
; the theory of periods of
abelian integrals
; and for his contributions to
????? ?????????
.
|
| ????? ??????
|
?????? ????? ??????
|
for his work on
???? ????
; on
geometric invariant theory
; and for laying the foundations of the modern
algebraic theory of moduli of curves
and
theta functions
.
|
| ????
|
???????? ???? ???
|
|
| ????
|
???? ???? ????
|
?????? ????? ??????
(????-????????
[?]
)
|
for his work in
geometric analysis
that has had a profound and dramatic impact on many areas of geometry and physics.
|
| ???? ???????
|
?????? ????? ??????
|
for his innovative contributions to
???????? ????
and
conformal dynamics
.
|
| ????
|
???????? ???? ???
|
|
| ????
|
????? ???????
|
?????? ????? ??????
|
?? ???? ???? ??? ?????
???? ??????
.
|
| ????? ?????????
|
????????
?????? ????? ??????
|
?? ???? ???? ???
?????? ????????? ?? ?????? ???????
.
|
| ????
|
George D. Mostow
|
?????? ????? ??????
|
for his fundamental and pioneering contribution to geometry and Lie group theory.
|
| ????? ?????
|
?????? ????? ??????
|
for his fundamental contributions to algebraic geometry, both in commutative and noncommutative.
|
| ????
|
???? ??????
|
??????? ?????
?????? ????? ??????
|
for his deep contributions in analysis, number theory, geometry, and combinatorics.
|
| ????
|
???? ????
|
??????
|
for his monumental work on the
trace formula
and his fundamental contributions to the theory of
automorphic representation
s of reductive groups.
|
| ????
|
????? ?? ???? ???
|
|
| ????
|
?????? ?????
|
?????? ????? ??????
|
for his contributions to geometric analysis and the understanding of the interconnectedness of partial differential equations and differential geometry.
|
| ????? ?????
|
?????? ????? ??????
|
for his contributions in a number of mathematical areas including complex multivariate analysis, partial differential equations and sub-elliptical problems.
|
| ????
|
???????? ????????
|
?????? ????? ??????
|
for their work that has made significant progress at the interface of geometry and mathematical physics.
|
| ???????? ???????
|
?????
?????? ????? ??????
|
| ????
|
Jean-Francois Le Gall
|
??????
|
for his several deep and elegant contributions to the theory of stochastic processes.
|
| Gregory Lawler
|
?????? ????? ??????
|
for his comprehensive and pioneering research on erased loops and random walks.
[?]
|
| ????
|
?????? ?????????
|
????????
|
for their contributions to differential geometry and topology.
[?]
|
| ????? ????????
|
?????? ????? ??????
|
| ????
|
????? ?? ???? ???
|
|