Participant List
Organized by:
Brian Conrey (American Institute of Mathematics ),
Matilde Lalin (Université de Montréal),
Giuseppe Mussardo (Laboratorio Interdisciplinare Scienze Naturali e Umanistiche, SISSA),
German Sierra (UAM/CSIC)
Talk Schedule:
| Time | Title | Speaker | Location |
| Monday October 31 | |||
| 10:30am | Hyperuniformity and its connection to number theory and discrete geometry | Salvatore Torquato | SCGP 313 |
| Monday October 31 | |||
| 1:30pm | Numbers from quantum field theory (lectures III and IV) | Karen Yeats | SCGP 313 |
| Tuesday November 1 | |||
| 10:30am |
The many faces of number theory in string theory
|
Abhiram Kidambi | SCGP 313 |
| Wednesday November 2 | |||
| 10:30am | Numbers from quantum field theory (lectures III and IV) | Karen Yeats | SCGP 313 |
| Monday November 7 | |||
| 10:30am |
Katz-Sarnak families and the Riemann hamiltonian
|
Mark Srednicki
|
SCGP 313 |
| Tuesday November 8 | |||
| 10:30am |
H = xp, the Landau model and the Dirac equation
|
German Sierra | SCGP 313 |
| Wednesday November 9 | |||
| 10:30am | Modular forms and their L-functions | David Lowry-Duda | SCGP 313 |
| Thursday November 10 | |||
| 10:30am | The Lerch zeta function and the Heisenberg group | Jeff Lagarias | SCGP 313 |
| Friday November 11 | |||
| 10:30am | Moments of the Hurwitz zeta function | Anurag Sahay | SCGP 313 |
| Tuesday November 15 | |||
| 10:30am | Uniform distribution and geometric incidence theory | Ayla Gafni | SCGP 313 |
| Thursday, November 17 | |||
| 10:30am | TBA | Israel Klitch | SCGP 313 |
| Friday, November 18 | |||
| 10:30am | When do symplectic L-functions have square roots? | Amina Abdurrahman | SCGP 313 |
The interplay between Number Theory and Physics has a long tradition, as illustrated by several examples and many initiatives of the past. A well-know example is the tantalizing connection between Random Matrix Theory and the statistical properties of the zeros of the Riemann zeta function and other L-functions. This connection opened the avenue to the application of techniques that first appeared in Nuclear Physics to Number Theory. Random Matrix Theory has proved to be a golden mine of profound ideas which span from the description of random media to cold atom fermions in magnetic trap. It is worth to mention that it is along this direction the attempt to address the Riemann Hypothesis employing concepts from Quantum Mechanics or Statistical Physics. String theory has also provided a playground for the connections with number theory and algebraic geometry, playing an important role in the discovery of mirror symmetry. Many novel ideas are now emerging relating string theory and the geometry of Calabi-Yau manifolds to Mock modular forms and paramodular forms. Finally, Number Theory has also played a crucial role in Quantum Information starting from the Shor’s algorithm that reduces the exponential cost of factorizing integers in a classical computer to a polynomial cost using a quantum computer. The recent construction of small quantum computers suggests that quantum algorithms based on Number Theory will play a fundamental role in the near future with a huge impact in basic sciences and technology.
There is also a workshop associated with this event: Number Theory And Physics.