Arithmetic Geometry Courses and Certifications

Simons Institute

Effective Arithmetic Geometry

Explore advanced concepts in arithmetic geometry, focusing on effective methods and their applications in number theory and algebraic geometry.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

ICTP Mathematics

Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2 - Lecture 5

Explora superficies racionales sobre cuerpos en esta conferencia avanzada de matemáticas, examinando conceptos clave y resultados recientes en geometría algebraica aritmética.

• YouTube
• 53 minutes
• On-Demand
• Free Video

ICTP Mathematics

Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2 - Lecture 4

Explora superficies racionales sobre cuerpos en esta conferencia avanzada de matemáticas, abordando conceptos de geometría algebraica y teoría de números.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Tom Rocks Maths

Mordell Conjecture and the 1986 Fields Medal - Interview with Gerd Faltings

Explore Gerd Faltings' groundbreaking work on the Mordell Conjecture, his Fields Medal journey, and insights into Arithmetic Geometry through an engaging interview with Oxford mathematician Dr Tom Crawford.

• YouTube
• 18 minutes
• On-Demand
• Free Video

Institute for Advanced Study

On the Converse to Eisenstein's Last Theorem

Explore Eisenstein's theorem and its converse, examining algebraic functions, Taylor expansions, and ODEs. Delve into joint research on conditions for algebraicity and related conjectures.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Quadratic Twist of Epsilon Factor of Symmetric Cube Transfers of Modular Form by Sudipa Mondal

Explores quadratic twists of epsilon factors for symmetric cube transfers of modular forms, delving into advanced concepts in arithmetic geometry and number theory.

• YouTube
• 26 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

On the Pseudonullity of Fine Selmer Groups Over Function Fields by Sohan Ghosh

Explores pseudonullity of fine Selmer groups over function fields, advancing understanding in arithmetic geometry and modular curves. Contributes to research on rational points and algebraic structures.

• YouTube
• 22 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Uniform Versions of Shafarevich Conjecture by Plawan Das

Exploring uniform versions of Shafarevich Conjecture in arithmetic geometry, focusing on rational points on modular curves and their implications for elliptic curves and modular forms.

• YouTube
• 54 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Singular Moduli for Real Quadratic Fields - An Update by Jan Vonk

Explore singular moduli for real quadratic fields with Jan Vonk. Learn about recent developments, theoretical insights, and computational aspects in this advanced arithmetic geometry lecture.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Equidistribution of Matrix Valued Gauss Sums by C. S. Rajan

Explore equidistribution of matrix-valued Gauss sums in this advanced mathematics lecture, delving into arithmetic geometry and modular curves.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

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.

• YouTube
• 30 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

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.

• YouTube
• 55 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

On Darmon's Program for the Generalized Fermat Equation of Signature - r, r, p - by Nicolas Billerey

Exploration of Darmon's approach to solving generalized Fermat equations, focusing on signature (r,r,p). Discusses theoretical foundations and computational techniques in arithmetic geometry.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

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.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

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.

• YouTube
• 56 minutes
• On-Demand
• Free Video