Gordan Savin

Mathematics is Intelligent Design

Research:

Minimal Representations: These remarkable representations are the smallest faithful representations of Chevalley groups of adjoint type (A-D-E root sytems). Minimal representations are unramified, and correspond to the reflection representation of affine Hecke algebras. For more details on the definition and properties, see my paper published in Glasnik Mat. Vol. 31(51) (1996), 93-99. (The restrictive condition n_V=1 in Remark 1.2 has been since removed by Stephen DeBacker.) Minimal representations realize, in a most natural fashion, several instances of Langlands functoriality. Some other (mostly) recent e-prints:

On G_2 motive with B. H. Gross.
"Bernstein's center" for real groups - with G. Muic, to appear in Transactions of AMS.
The smallest representation of non-linear covers of odd orthogonal groups - with H. Y. Loke, to appear in American J. of Math.
Uniqueness of the minimal representation - with H. Y. Loke, to appear in Math. Annalen.
Functoriality and the inverse Galois problem - with C. Khare and M. Larsen, to appear in Compositio Math.
Lifting of generic depth zero supercusipdal representations , to appear in J. of Algebra.
Elliptic curve test for Fermat primes - with R. Denomme, submitted.
Dual pair correspondences for non-linear covers of odd orthogonal groups - with H. Y. Loke, submitted.

Figure:

upper.gif - this file contains the above picture of the complex upper half plane.

Math 6310 and 6320 (MA 5203 at NUS):

Sample final exam problems .
first lecture, updated 22/08/07.
second lecture, updated 22/08/07.
third lecture, updated 17/09/07.
fourth lecture, updated 17/09/07.
fifth lecture, updated 30/10/07.
sixth lecture.
seventh lecture, updated 12/10/07.
eight lecture.
ninth lecture.
tenth lecture.

Math 3160:

Course syllabus .
NEW: Sample final exam .

Math 4400 and 5405:

Course notes .

Mail address:

        Gordan Savin
        Department of Mathematics
        University of Utah
        Salt Lake City, UT 84112

Office phone: (801) 581-6175

Gordan Savin (savin@math.utah.edu)