Seminarium: 20th Geometry and Physics seminar
- Datum: –17.00
- Plats: Ångströmlaboratoriet Häggsalen
- Föreläsare: Prof. Cumrun Vafa (Harvard), Prof. Sergei Gukov (Caltech), och Prof. Albrecht Klemm (Bonn).
- Kontaktperson: Tobias Ekholm and Maxim Zabzine
Geometry and Fundamental Lessons for Quantum Gravity
Speaker: Cumrun Vafa
Time: 13:15 - 14:15
Abstract: I review the power of geometric ideas in the context of string theory to teach us about consistency conditions for a quantum gravitational theory. For a large class of cases we can use known mathematical and geometrical facts to rule out putative quantum gravitational systems which naively look perfectly consistent. I discuss some of the principles that have emerged in this study which distinguish good quantum systems belonging to the "string landscape'' from the inconsistent ones belonging to the "string swampland".
Speaker: Sergei Gukov
Time: 14:30 - 15:30
Abstract: The goal of the talk will be to introduce a class of functions that originate from physics, answer a question in topology, can be computed via methods more common in the theory of dynamical systems, and in the end turn out to enjoy beautiful modular properties of the type first observed by Ramanujan.
CY 3-folds over finite fields, Blackhole attractors, and D-brane masses
Speaker: Albrecht Klemm
Department: Bonn U
Time: 16:00 - 17:00
Abstract: The integer coefficients in the numerator of the Hasse-Weil Zeta function for one parameter Calabi-Yau 3-folds are expected to be Hecke eigenvalues of Siegel modular forms. For rigid CY 3-folds as well as at conifold --- and rank two attractor points of non rigid Calabi-Yau this numerator contains actors of lower degree whose coefficients are determined by the Hecke eigenvalues of weight two or four modular cusp forms of $\Gamma_0(N)$. We show that the Hecke L-function at integer arguments or more generally the periods of these modular forms give the $D$-brane masses as well as the value and the curvature of the Weil-Peterssen metric at these points. The coefficients of the connection matrix from the integer symplectic basis to a Frobenius basis at the conifold and at a rank two attractor point are given by periods and the quasi periods of these modular forms.