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Caltech/UCLA Joint Analysis Seminar

Friday, April 27, 2018
4:00pm to 5:00pm
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Heinävarra's Proof of the Dobsch-Donoghue Theorem
Barry Simon, Department of Mathematics, Caltech,

UCLA - MS 7608

In 1934, Loewner proved a remarkable and deep theorem about matrix monotone functions. Recently, the young Finnish mathematician, Otte Heinävarra settled a 10 year old conjecture and found a 2 page proof of a theorem in Loewner theory whose only prior proof was 35 pages. I will describe his proof and use that as an excuse to discuss matrix monotone and matrix convex functions, including, if time allows, my own recent proof of Loewner's original theorem.

For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].