Moduli Space of Curves and Its Intersection Theory - Lecture 2
Explore advanced concepts in algebraic geometry, focusing on moduli spaces of curves and their intersection theory in this in-depth lecture.
Moduli Space of Curves and Its Intersection Theory - Lecture 1
Explore the moduli space of curves and its intersection theory in this advanced mathematical lecture by Nitin Kumar Chidambaram.
Isolated and Parameterized Points on Algebraic Curves
Explore isolated and parameterized points on algebraic curves, examining their behavior in families and implications for elliptic curve arithmetic. Gain insights into curve geometry and its connection to arithmetic properties.
Sparsity of Rational Points on Curves - What is Known and What is Expected
Explore the known results and open questions surrounding the sparsity of rational points on curves, gaining insights into this mathematical concept.
Recent Progress in Geometric Langlands - ICBS 2024
Explore recent advancements in geometric Langlands theory, including verified conjectures and related questions in algebraic geometry and representation theory.
Algebraic Curves and Minimal Surfaces
Explore algebraic curves and minimal surfaces with Prof. Sebastian Heller, delving into Riemann surfaces, harmonic maps, and experimental mathematics.
Hopf-Galois Extensions and Applications
Explore Hopf-Galois theory, its applications in field extensions, and arithmetic properties derived from algebraic curves. Gain insights into this generalization of classical Galois theory.
Riemann's Theta Function: From Algebraic Geometry to Water Wave Physics
Explore Riemann's theta function's role in mathematics, from geometry to cryptography, and its connection to water wave physics through the KP equation.
Maximal Mumford Curves and Graph Embeddings in Real Algebraic Geometry
Explore the geometric properties of MM-curves, focusing on real stable curves, hyperplane arrangements, and graph embeddings in relation to Mumford curves and their deformations.