A Construction of Apéry Constants from Landau Ginzberg Models
Offered By: IMSA via YouTube
Course Description
Overview
Explore a mathematical lecture delving into the construction of Apéry constants from Landau-Ginzberg models. Discover how the irrationality of the Riemann zeta function at 3 was proven by R. Apéry through rapidly converging sequences, and learn about its connection to the holomorphic period function of K3 surfaces. Examine V. Golyshev's work on special L-function values for Fano threefolds and investigate the potential mirror construction in B-model side. Gain insights into geometric higher normal functions on mirror Landau-Ginzberg models of Fano threefolds and their role in reconstructing Apéry constants. Follow the speaker's exploration of results for various Fano threefolds, including V_10, V_12, V_16, V_18, and a partial result for V_14, based on Mukai's classification.
Syllabus
A Construction of Apéry Constants from Landau Ginzberg Models
Taught by
IMSA
Related Courses
Introduction to Algebraic Geometry and Commutative AlgebraIndian Institute of Science Bangalore via Swayam Introduction to Algebraic Geometry and Commutative Algebra
NPTEL via YouTube Basic Algebraic Geometry - Varieties, Morphisms, Local Rings, Function Fields and Nonsingularity
NPTEL via YouTube Basic Algebraic Geometry
NIOS via YouTube Affine and Projective Geometry, and the Problem of Lines
Insights into Mathematics via YouTube