Seminar
Data-Driven Biological Modeling
Expressing the semi-quantum operators, of Meixner random variables in terms of the position and momentum operators
Abstract:
An example of anomalous dissipation for passive scalars
Center manifolds without a phase space for quasilinear PDE from elasticity, biology, and hydrodynamics
How many lines are on a hypersurface?
A cubic surface is a surface in the 3-dimensional space defined by a polynomial equation of degree 3. It is a remarkable, classical fact in algebraic geometry that every cubic surface contains exactly 27 lines. In this talk, I will explain this fact and its generalization to higher dimensions.
Harbir Antil - Fractional PDEs: Analysis, Control and Applications
Room: Thack 703
The dilogarithm function in geometry and number theory (Pt. 4)
Abstract:
In this fourth and final part, we discuss the Bloch group. Moreover, we introduce Dedekind zeta function and we show how to compute values of $\zeta_{F}(2)$, where $F$ is a certain number field. The computation of these values will involve volumes of hyperbolic 3-manifolds.
The Dilogarithm Function in Geometry and Number Theory (Pt. 3)
Abstract:
In this third part, we explore more the connections of the Bloch-Wigner dilogarithm with volumes of hyperbolic 3-manifolds. Specifically, we will express the volume of a hyperbolic 3-manifold as a finite sum of Bloch-Wigner dilogarithms. If time allows, we also discuss the Bloch group.
The Dilogarithm Function in Geometry and Number Theory (Pt. 2)
Abstract:
In this second talk, we explore the Bloch-Wigner dilogarithm which is very important in connections with volumes of hyperbolic 3-manifolds and K-theory.