Rogers-Ramanujan Identities | Part 3: More on partition generating functions.
We look more at partition generating functions, focusing on what each part of the generating function means in terms of the allowed partitions given some ...
Michael Penn
The Rogers-Ramanujan identities and the icosahedron - Lecture 3
Don Zagier (Max Planck/ICTP) The two identities ∞∑n=0xn2(1−x)· · ·(1−xn)=∏n≡±1 (mod 5)11−xn,∞∑n=0xn(n+1)(1−x)· · ·(1−xn)=∏n≡±2 (mod 5)11−xn, ...
ICTP Mathematics
Jack Thorne - The Ramanujan conjecture for Bianchi modular forms of weight 2
Let K be an imaginary quadratic field. Conjecturally, one should be able to associate to any cusp form on GL_n(A_K) which is cohomological (for the trivial ...
Institut des Hautes Études Scientifiques (IHÉS)
Magical Mathematics of Ramanujan | Prof. Asok Mallik | 2018
Abstract of the talk - Ramanujan's mathematics had a mystical quality. Very often, his results seem to pop out from nowhere. In this popular level talk, we mention ...
IIT Gandhinagar
Roger Penrose discusses his career in mathematical physics
Roger Penrose is one of the recipients of the 2020 Nobel Prize for Physics. The British mathematical physicist was honoured for his discovery that black-hole ...
Physics World
Quantum Black Holes and Number Theory
Basic Notions Seminar Series Speaker: Atish Dabholkar (ICTP)
Int'l Centre for Theoretical Physics
Modular Forms and Representation Theory - Ken Ono - 2016
Modular Forms and Representation Theory (Ken Ono)
ICTP Mathematics
Ancient Aliens: Ramanujan the Divine Mathematician (Season 11, Episode 5) | History
Join us at AlienCon to see your favorite experts from Ancient Aliens! According to ancient astronaut theorists, Ramanujan, the mathematician who lived almost a ...
HISTORY
Integrating Quotients of Powers of Infinite Products - The Power of Ramanujan's Master Thm
It probably doesn't converge but I just couldn't resist using RMT on Ramanujan's most beautiful identity as judged by Hardy-Littlewood. Where else have we ...
Marshall Harrison - Guitarist
Some uses of orthogonal polynomials
One thing which will be explained is the evaluation of a determinant originally stated by Sylvester and rediscovered by Mark Kac.  The determinant is ...
Microsoft Research
"Reminiscences of the Standard Model" - Special Colloquium by Steven Weinberg
Abstract: "I will describe the path that led me to the electroweak theory of Salam and myself, and what happened afterwards" Steven Weinberg is a theoretical ...
Int'l Centre for Theoretical Physics
2018 Ramanujan Prize Ceremony and World Science Day for Peace and Development
ICTP has awarded the 2018 Ramanujan Prize for Young Mathematicians from Developing Countries to Ritabrata Munshi of the Indian Statistical Institute, ...
Int'l Centre for Theoretical Physics
'7 Things You Need to Know About Prime Numbers' - Dr Vicky Neale
This talk was originally given to an audience of school students aged 16-17 as part of a mathematics enrichment event at the University of Cambridge. Recorded ...
Millennium Mathematics Project - maths.org
Random Matrix Theory and Zeta Functions - Peter Sarnak
Random Matrix Theory and Zeta Functions - Peter Sarnak Peter Sarnak Institute for Advanced Study; Faculty, School of Mathematics February 4, 2014 We ...
Institute for Advanced Study
Zeros of polynomials via matrix theory and continued fractions - Olga Holtz
Olga Holtz University of California, Berkeley; Member, School of Mathematics February 24, 2014 After a brief review of various classical connections between ...
Institute for Advanced Study
Differential Forms | Algebraic Properties of the Wedge Product
We state and prove some algebraic properties of the wedge product of m-forms. Please Subscribe: ...
Michael Penn
