03401nam a22003855a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001600168072001600184084002200200100003700222245014000259260008200399300003400481336002600515337002600541338003600567347002400603490005600627506006600683520202300749650003502772650002602807650003102833650002302864700002702887856003202914856006902946189-150427CH-001817-320150427234500.0a fot ||| 0|cr nn mmmmamaa150427e20150410sz fot ||| 0|eng d a978303719644170a10.4171/1442doi ach0018173 7aPBX2bicssc 7aPBR2bicssc a01-xxa11-xx2msc1 aBečvářová, Martina,eauthor.10aKarl Löwner and His Student Lipman Bers – Pre-war Prague Mathematiciansh[electronic resource] /cMartina Bečvářová, Ivan Netuka3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2015 a1 online resource (310 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aHeritage of European Mathematics (HEM) ;x2523-52141 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php aThis monograph is devoted to two distinguished mathematicians, Karel Löwner (1893–1968) and Lipman Bers (1914–1993), whose lives are dramatically interlinked with key historical events of the 20th century. K. Löwner, Professor of Mathematics at the German University in Prague (Czechoslovakia), was dismissed from his position because he was a Jew, and emigrated to the USA in 1939 (where he changed his name to Charles Loewner). Earlier, he had published several outstanding papers in complex analysis and a masterpiece on matrix functions. In particular, his ground-breaking parametric method in geometric function theory from 1923, which led to Löwner’s celebrated differential equation, brought him world-wide fame and turned out to be a cornerstone in de Branges’ proof of the Bieberbach conjecture. Unexpectedly, Löwner’s differential equation has gained recent prominence with the introduction of a conformally invariant stochastic process called stochastic Loewner evolution (SLE) by O. Schramm in 2000. SLE features in two Fields Medal citations from 2006 and 2010. L. Bers was the final Prague Ph.D. student of K. Löwner. His dissertation on potential theory (1938), completed shortly before his emigration and long thought to be irretrievably lost, was found in 2006. It is here made accessible for the first time, with an extensive commentary, to the mathematical community.
This monograph presents an in-depth account of the lives of both mathematicians, with special emphasis on the pre-war period. Löwner’s teaching activities and professional achievements are presented in the context of the prevailing complex political situation and against the background of the wider development of mathematics in Europe. Each of his publications is accompanied by an extensive commentary, tracing the origin and motivation of the problem studied, and describing the state-of-art at the time of the corresponding mathematical field. Special attention is paid to the impact of the results obta...07aHistory of mathematics2bicssc07aNumber theory2bicssc07aHistory and biography2msc07aNumber theory2msc1 aNetuka, Ivan,eauthor.40uhttps://doi.org/10.4171/144423cover imageuhttps://www.ems-ph.org/img/books/becvarova_mini.jpg