Explore the Grothendieck inequality in this 68-minute colloquium talk by Gadadhar Misra from the Department of Mathematics at the Indian Institute of Science, Bangalore. Delve into the intricacies of this fundamental mathematical concept, including its surprising consequences and applications. Learn about max cut problems, cut norms, and the Grothendieck constant for graphs. Follow Kirvine's proof of the inequality, understand tensor products, and examine the sine hyperbolic lemma. Gain insights into the sharpening of the Varopolous inequality and participate in a Q&A session to further enhance your understanding of this complex topic.
The Grothendieck Inequality by Gadadhar Misra
International Centre for Theoretical Sciences via YouTube
Overview
Syllabus
Date: Mon, 22 April 2019, 15:00 to
The Grothendieck inequality
max Cut
the edge set
the edge set with labels
the edge set with crossings marked
Cut Norm
the Cut norm
proof
proof contd.
integer linear program
the LP relaxation
what we know about the Grothendieck constant
Grothendieck constant for graphs
the original Grothendieck inequality
Kirvine's proof of the Grothendieck inequality
an integral
evaluation of the integral
tensor product
Kirvine's proof of the Grothendieck inequality
sine hyperbolic
completing the proof
sine hyperbolic Lemma
sharpening the Varopolous inequality
Thank you
Q&A
Taught by
International Centre for Theoretical Sciences
