The Glamorous Variety
Explore the aesthetic virtue of glamour in mathematics, focusing on semistable curves, modular curves, perfectoid rings, and connections to the Langlands program.
Some Differential Operators on the Modular Curves with Infinite Level at P and Applications
Explore differential operators on modular curves with infinite level at p, their applications, and related concepts in algebraic geometry and number theory.
Hecke Actions on Loops and Periods of Iterated Shimura Integrals
Exploration of Hecke actions on loops and periods of iterated Shimura integrals, focusing on SL_2(Z) and modular curves, with insights into mixed modular motives and Galois action.
Computational Aspects of Nonabelian Chabauty - Lecture 1
Explore computational techniques for Nonabelian Chabauty methods in arithmetic geometry, focusing on rational points on modular curves and advanced number theory concepts.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 3
Exploring advanced techniques in arithmetic geometry for analyzing rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its practical applications.
Classical and Quadratic Chabauty - Lecture 3
Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1
Explore advanced techniques for studying rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its theoretical and practical applications in arithmetic geometry.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 4
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
Classical and Quadratic Chabauty - Lecture 3
Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
Conjectural Asymptotics of Prime Orders of Points on Elliptic Curves Over Number
Explores conjectural asymptotics of prime orders of points on elliptic curves over number fields, advancing understanding in arithmetic geometry and modular curve theory.
Automorphic Lefschetz Properties and L-Values
Explore automorphic Lefschetz properties and L-values in arithmetic geometry with expert Arvind Nair. Gain insights into advanced concepts and their applications in number theory.
On the Harris-Venkatesh Conjecture by Loic Merel
Exploration of the Harris-Venkatesh conjecture in arithmetic geometry, focusing on rational points on modular curves and their implications for elliptic curves and modular forms.
Arakelov Self-Intersection Number on Modular Curves by Priyanka Mazumdar
Exploration of Arakelov self-intersection numbers on modular curves, examining their geometric and arithmetic properties in the context of rational points and arithmetic geometry.
On the Local Constancy of Certain Mod P Galois Representations by Suneel Kumar
Exploration of local constancy in mod p Galois representations, focusing on theoretical aspects and implications for arithmetic geometry and modular curves.
Iwasawa Theory for the Fine Selmer Group of Elliptic Curves Over Anticyclotomic
Explore Iwasawa theory for fine Selmer groups of elliptic curves over anticyclotomic extensions, delving into advanced arithmetic geometry concepts and their applications.
On a Local-Global Principle for Quadratic Twists of Abelian Varieties by Francesc Fite
Explore a local-global principle for quadratic twists of abelian varieties in this advanced mathematics lecture, delving into arithmetic geometry and number theory concepts.
Explicit Motivic Chabauty-Kim Method by David Corwin
Explore the Explicit Motivic Chabauty-Kim Method for studying rational points on modular curves, combining advanced arithmetic geometry with computational techniques.
Computing Local Galois Representations Modulo 2 by Shalini Bhattacharya
Explore techniques for computing local Galois representations modulo 2, focusing on arithmetic geometry and modular curves. Gain insights into advanced mathematical concepts and their applications.
The Eisenstein Cycles and Manin-Drinfeld Properties
Explore Eisenstein cycles and Manin-Drinfeld properties in modular curves, focusing on rational points and their significance in arithmetic geometry. Gain insights from expert Debargha Banerjee.
On the Solutions of Certain Diophantine Equations Over Totally Real Fields
Explore solutions to specific Diophantine equations over totally real fields, delving into advanced number theory and algebraic geometry concepts.