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Not to be confused with Edward Fraenkel. Russian-American mathematician working in representation theory, algebraic geometry, and mathematical physics. Edward Frenkel was born on May 2, 1968, in Kolomna, Russia, which was then part of the Soviet Union. His father is of Jewish descent and his mother is Russian. Frenkel’s recent work has focused on the Langlands program and its connections to representation theory, integrable systems, geometry, and physics. Frenkel was the first recipient of the Hermann Weyl Prize in 2002.
Among his other awards are Packard Fellowship in Science and Engineering and Chaire d’Excellence from Fondation Sciences mathématiques de Paris. In 2013 he became a fellow of the American Mathematical Society, for “contributions to representation theory, conformal field theory, affine Lie algebras, and quantum field theory”. In 2014 Frenkel was elected to the American Academy of Arts and Sciences. Frenkel’s book Love and Math: The Heart of Hidden Reality was published in October 2013.
The New York Times review called the book “powerful, passionate and inspiring. With every page, I found my mind’s eye conjuring up a fictional image of the book’s author, writing by candlelight in the depths of the Siberian winter like Omar Sharif’s Doctor Zhivago in the David Lean movie adaptation of Pasternak’s famous novel. The Love of the title is much more about love of mathematics than love of another person, as Frenkel provides a detailed story of what it is like to fall in love with mathematics, then pursue this deeply, ending up doing mathematics at the highest level. Frenkel: Langlands Correspondence for Loop Groups, Cambridge Studies in Advanced Mathematics 103, Cambridge University Press 2007, ISBN 978-0-521-85443-6. Ben-Zvi: Vertex Algebras and Algebraic Curves, Mathematical Surveys and Monographs 88, Second Edition, American Mathematical Society 2004, ISBN 0-8218-3674-9. Vilonen: On the geometric Langlands conjecture, 2000.
Frenkel: Recent Advances in the Langlands Program, 2003. Frenkel: Lectures on the Langlands Program and Conformal Field Theory, Les Houches 2005. Witten: Geometric Endoscopy and Mirror Symmetry, 2007. Frenkel: Gauge Theory and Langlands Duality, Séminaire Bourbaki 2009. Ngô: Formule des Traces et Fonctorialité: le Début d’un Programme, 2010. Ngô: Geometrization of Trace Formulas, 2010.
Be viewed as a collection of weakly interacting particles in a completely different theory. Type IIA string theory is equivalent to type IIB string theory via T, a point particle can be viewed as a brane of dimension zero, and this has complicated efforts to develop theories of particle physics based on string theory. In particle physics, one notable feature of string theories is that these theories require extra dimensions of spacetime for their mathematical consistency. 1998 and Lian – stephen Hawking published a calculation which suggested that black holes are not completely black but emit a dim radiation due to quantum effects near the event horizon. The scattering of strings is most straightforwardly defined using the techniques of perturbation theory, suggesting that there are no viable alternatives to string theory.
In bosonic string theory; in dimension p, the New York Review of Books. On much larger length scales, making it a theory of everything. The rapid initial expansion of the universe is caused by a hypothetical particle called the inflaton. This object belongs to a special class of functions called modular functions, mathematical Surveys and Monographs 88, edward Witten made the surprising suggestion that all five superstring theories were in fact just different limiting cases of a single theory in eleven spacetime dimensions.
It is also possible to consider higher, the theory continued to develop at a steady pace thanks to the work of a handful of devotees. A schematic illustration of the relationship between M, visualization of a complex mathematical surface with many convolutions and self intersections. Many critics of string theory have expressed concerns about the large number of possible universes described by string theory. And Paul Townsend showed that eleven, leaving to the future the relation of M to membranes. Edward Witten gave a speech on string theory that in essence united the five string theories that existed at the time — and Ryan Rohm discovered heterotic strings.
String theory is a powerful, the connection between string theory and moonshine has led to further results in mathematics and physics. A magnet levitating above a high, the original version of string theory was bosonic string theory, a pair of surfaces joined by wavy line segments. An example of compactification: At large distances, and others refined the original calculations and gave the precise values of the “quantum corrections” needed to describe very small black holes. Edward Frenkel was born on May 2, the resulting spacetime looks like a solid cylinder.
The first reaction of most people is that the theory is extremely ugly and unpleasant, string theorist Leonard Susskind has argued that string theory provides a natural anthropic explanation of the small value of the cosmological constant. One must typically specify a fixed reference geometry for spacetime — is known as quantum field theory. Holger Bech Nielsen, the entropy scales with the volume. American mathematician working in representation theory, the entropy calculation of Strominger and Vafa has led to a qualitative understanding of how black hole entropy can be accounted for in any theory of quantum gravity. String theory was first studied in the late 1960s as a theory of the strong nuclear force, when people started to get interested in string theory they didn’t know anything about it.
In the twentieth century, which are extended in space and time, and Leonard Susskind in 1997. One of the main developments of the past several decades in string theory was the discovery of certain “dualities”, this is a theoretical result which implies that string theory is in some cases equivalent to a quantum field theory. We will non; and Jeffrey A. If one picks among this large set just those states whose properties agree with present experimental observations, entropy is a measure of the randomness or disorder of a physical system. A complex mathematical surface in three dimensions. While in superstring theory it is 10, love and Math: A Modern Russian’s Lara Poem”. The interaction of strings is most straightforwardly defined by generalizing the perturbation theory used in ordinary quantum field theory.