L-functions Courses and Certifications

International Centre for Theoretical Sciences

Subconvexity for Rankin-Selberg L-functions in Prime Power Level

Delve into advanced number theory concepts focusing on Rankin-Selberg L-functions and their subconvexity bounds in prime power level, exploring circle method applications in analytic theory.

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

International Centre for Theoretical Sciences

Level Aspect Subconvexity for GL2×GL2 L-functions

Delve into advanced number theory concepts focusing on level aspect subconvexity for GL2xGL2 L-functions, exploring circle method applications and analytic theory developments.

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

International Centre for Theoretical Sciences

Subconvexity for L-functions of Hilbert Modular Forms via Delta Method

Delve into advanced number theory concepts focusing on L-functions of Hilbert modular forms and their subconvexity bounds through the Delta Method approach in analytic number theory.

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

International Centre for Theoretical Sciences

Sub-Weyl Bound for GL(2) L-functions

Delve into advanced number theory concepts focusing on Sub-Weyl bounds for GL(2) L-functions, exploring circle method applications and their connections to analytic theory.

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

Institute for Advanced Study

Simultaneous Non-Vanishing of L-Functions at the Central Point

Explore simultaneous non-vanishing results for Dirichlet L-functions at the central point, covering conditional theorems for multiple L-functions in Galois orbits.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Fields Institute

Invariance of the Zeroes of Automorphic L-Functions by Conjugation of Coefficients

Explore the invariance properties of zeroes in automorphic L-functions under coefficient conjugation with expert Laurent Clozel from CNRS.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Fields Institute

Schwartz Functions and L Functions

Explore the mathematical relationship between Schwartz functions and L functions in this advanced analysis presentation by Bill Casselman.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A New Relative Trace Formula and Central Values of Standard L-Functions

Explore advanced connections between automorphic forms and L-functions through new relative trace formulas, featuring joint work on global conjectures and endoscopic comparisons.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Algebraic Cycles on Spin Shimura Varieties and Special Values of L-Functions

Explore algebraic cycles on spin Shimura varieties and their connection to special values of L-functions in this advanced mathematical lecture from the GAAG workshop.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Simons Foundation

A Refined Random Matrix Model for Function Field L-functions

Explore a refined random matrix model combining Steinhaus multiplicative functions to predict function field L-function statistics and validate theoretical moment calculations.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

NCCR SwissMAP

L-Functions, Automorphic Spectra, and the Conformal Bootstrap

Explore connections between L-functions, automorphic spectra, and conformal bootstrap methods in advanced mathematical physics and number theory applications.

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

CIMPA UCR

Ciclos Algebraicos y Residuos de Funciones L para Ciertas Representaciones Automorfas Endoscópicas de GSp(4) × GL(2)

Delve into algebraic cycles and L-function residues for certain endoscopic automorphic representations of GSp(4) × GL(2), exploring Tate and Beilinson conjectures and their relationship to special non-critical values of L-functions.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Fields Institute

Algebraic Twists of Automorphic L-Functions

Explore advanced number theory concepts with Philippe Michel, focusing on algebraic twists of automorphic L-functions and their applications in modern mathematics.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Fields Institute

The Fricke-Macbeath Curve and Triple Product L-Functions

Explore the geometry of the Fricke-Macbeath curve using triple product L-functions, connecting representation theory, geometry, and arithmetic in this advanced mathematical lecture.

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

Hausdorff Center for Mathematics

Anticyclotomic P-adic L-functions for Rankin-Selberg Motives

Explore anticyclotomic p-adic L-functions for Rankin-Selberg motives, their construction, conjectures, and progress towards the Iwasawa main conjecture in this advanced mathematics lecture.

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