All problems combined [PDF]
Open problems in honor of Wilfried Schmid
Open problems are the mainstay of our mathematical culture.
They formulate, at times, a collective challenge of the community; they
sometimes stake out our personal challenges.
They represent the ever rejuvenating intellectual curiosity,
inspiration and energy; and the joy of doing mathematics. In celebration of
Wilfried Schmid's 70th birthday, and in coordination with the conference
commemorating his birthday, some of Wilfried's colleagues have
presented problems in his honor. These problems are in some of the
great range of subjects that have been enlarged by Wilfried's work,
and that reflect some of his interests. Four of the problems will be presented
at the conference (10-15 minutes each, Monday May 20, 6-7:30 PM). Here are the 9 problems:
| | Problem | Contributed by | Presented by | |
 |
Euclidean Geometry related to particle physics, and Nahm's Equation |
Michael Atiyah |
Peter Kronheimer |
PDF |
 |
Nonabelian versions of Poincare Duality related to problems regarding the classification of G-bundles over a manifold |
Jacob Lurie |
|
PDF |
 |
Degeneration of nonabelian Hodge structures |
Carlos Simpson |
Carlos Simpson |
PDF |
 |
Multiplicities of irreducible representations of real reductive groups when restricted to maximal compact subgroups |
David A. Vogan, Jr. |
David A. Vogan |
PDF |
 |
The trace formula and classification of automorphic representations of orthogonal and symplectic groups |
James Arthur |
James Arthur |
PDF |
 |
Arithmeticity (or not) of Monodromy |
Peter Sarnak |
|
PDF |
 |
Feynman Diagrams |
Matvei Libine joint with with Igor Frenkel |
|
PDF |
 |
What mathematics is really behind the distributional Γ-factors? |
Stephen D. Miller |
|
PDF |
 |
Tautological classes on the moduli space of K3 surfaces |
Alina Marian |
|
PDF |