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Giovanni Felder
Giovanni Felder (18 November 1958 in Aarau) is a Swiss mathematical physicist and mathematician, working at ETH Zurich. He specializes in algebraic and geometric properties of integrable models of statistical mechanics and quantum field theory. Education and career Felder attended school in Lugano and Willisau District. He studied physics at ETH Zurich, where he graduated with M.Sc. in 1982 and with Ph.D. in 1986. His doctoral dissertation, entitled ''Renormalization Group, Tree Expansion, and Non-renormalizable Quantum Field Theories'', was supervised by Jürg Fröhlich (and Konrad Osterwalder). Felder held postdoctoral positions from 1986 to 1988 at IHES, from 1988 to 1989 at the Institute for Advanced Study, and from 1989 to 1991 at the Institute of Theoretical Physics, ETH Zurich. From 1991 to 1994 he became an assistant professor of mathematics at ETH Zurich. From 1994 to 1996 he worked as professor of mathematics at the University of North Carolina. In 1996 he returned a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aarau
Aarau (, ) is a List of towns in Switzerland, town, a Municipalities of Switzerland, municipality, and the capital of the northern Swiss Cantons of Switzerland, canton of Aargau. The List of towns in Switzerland, town is also the capital of the district of Aarau (district), Aarau. It is German-speaking and predominantly Protestant. Aarau is situated on the Swiss plateau, in the valley of the Aare, on the river's right bank, and at the southern foot of the Jura Mountains, and is west of Zürich, south of Basel and northeast of Bern. The municipality borders directly on the canton of Solothurn to the west. It is the largest town in Aargau. At the beginning of 2010 Rohr, Aargau, Rohr became a district of Aarau. The official language of Aarau is (the Swiss variety of Standard) Swiss Standard German, German, but the main spoken language is the local variant of the Alemannic German, Alemannic Swiss German (linguistics), Swiss German dialect. Geography and geology The old city of Aarau ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elliptic Gamma Function
In mathematics, the elliptic gamma function is a generalization of the q-gamma function, which is itself the q-analog of the ordinary gamma function. It is closely related to a function studied by , and can be expressed in terms of the triple gamma function. It is given by :\Gamma (z;p,q) = \prod_^\infty \prod_^\infty \frac. It obeys several identities: :\Gamma(z;p,q)=\frac\, :\Gamma(pz;p,q)=\theta (z;q) \Gamma (z; p,q)\, and :\Gamma(qz;p,q)=\theta (z;p) \Gamma (z; p,q)\, where θ is the q-theta function. When p=0, it essentially reduces to the infinite q-Pochhammer symbol In mathematical area of combinatorics, the ''q''-Pochhammer symbol, also called the ''q''-shifted factorial, is the product (a;q)_n = \prod_^ (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^), with (a;q)_0 = 1. It is a ''q''-analog of the Pochhammer symb ...: :\Gamma(z;0,q)=\frac. Multiplication Formula Define :\tilde(z;p,q):=\frac(\theta(q;p))^\prod_^\infty \prod_^\infty \frac. Then the following formula hol ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Special Functions
Special functions are particular mathematical functions that have more or less established names and notations due to their importance in mathematical analysis, functional analysis, geometry, physics, or other applications. The term is defined by consensus, and thus lacks a general formal definition, but the List of mathematical functions contains functions that are commonly accepted as special. Tables of special functions Many special functions appear as solutions of differential equations or integrals of elementary functions. Therefore, tables of integrals usually include descriptions of special functions, and tables of special functions include most important integrals; at least, the integral representation of special functions. Because symmetries of differential equations are essential to both physics and mathematics, the theory of special functions is closely related to the theory of Lie groups and Lie algebras, as well as certain topics in mathematical physics. Symbolic c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Varchenko
Alexander Nikolaevich Varchenko (russian: Александр Николаевич Варченко, born February 6, 1949) is a Soviet and Russian mathematician working in geometry, topology, combinatorics and mathematical physics. Education and career From 1964 to 1966 Varchenko studied at the MoscoKolmogorov boarding school No. 18for gifted high school students, where Andrey Kolmogorov anYa. A. Smorodinskywere lecturing mathematics and physics. Varchenko graduated from Moscow State University in 1971. He was a student of Vladimir Arnold. Varchenko defended his Ph.D. thesis ''Theorems on Topological Equisingularity of Families of Algebraic Sets and Maps'' in 1974 and Doctor of Science thesis ''Asymptotics of Integrals and Algebro-Geometric Invariants of Critical Points of Functions'' in 1982. From 1974 to 1984 he was a research scientist at the Moscow State University, in 1985–1990 a professor at the Gubkin Institute of Gas and Oil, and since 1991 he has been the Ernest Eliel Pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Zamolodchikov
Alexander Borisovich Zamolodchikov (russian: Алекса́ндр Бори́сович Замоло́дчиков; born September 18, 1952) is a Russian physicist, known for his contributions to condensed matter physics, two-dimensional conformal field theory, and string theory, and is currently the C.N. Yang/Wei Deng Endowed Chair of Physics at Stony Brook University. Biography Born in Novo-Ivankovo, now part of Dubna, Zamolodchikov earned a M.Sc. in Nuclear Engineering (1975) from Moscow Institute of Physics and Technology, a Ph.D. in Physics from the Institute for Theoretical and Experimental Physics (1978). He joined the research staff of Landau Institute for Theoretical Physics (1978) where he got an honorary doctorate (1983). He co-authored the famous BPZ paper "Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory", with Alexander Polyakov and Alexander Belavin. He joined Rutgers University (1990) where he co-founded Rutgers New High Energy Theory Center ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Markovich Polyakov
Alexander is a male given name. The most prominent bearer of the name is Alexander the Great, the king of the Ancient Greek kingdom of Macedonia who created one of the largest empires in ancient history. Variants listed here are Aleksandar, Aleksander and Aleksandr. Related names and diminutives include Iskandar, Alec, Alek, Alex, Alexandre, Aleks, Aleksa and Sander; feminine forms include Alexandra, Alexandria, and Sasha. Etymology The name ''Alexander'' originates from the (; 'defending men' or 'protector of men'). It is a compound of the verb (; 'to ward off, avert, defend') and the noun (, genitive: , ; meaning 'man'). It is an example of the widespread motif of Greek names expressing "battle-prowess", in this case the ability to withstand or push back an enemy battle line. The earliest attested form of the name, is the Mycenaean Greek feminine anthroponym , , (/Alexandra/), written in the Linear B syllabic script. Alaksandu, alternatively called ''Alakasandu'' or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Belavin
Alexander "Sasha" Abramovich Belavin (russian: Алекса́ндр Абра́мович Бела́вин, born 1942) is a Russian physicist, known for his contributions to string theory. He is a professor at the Independent University of Moscow and а researcher at the Landau Institute for Theoretical Physics. He is also a member of the editorial board of the Moscow Mathematical Journal. Work Belavin participated in the discovery of the BPST instanton (1975) which aided the understanding of the chiral anomaly and gave new directions within quantum field theory. With G. Avdeeva he showed evidence of new coupling regimes for gauge field theory (1973). He also developed the Belavin S-matrices, exactly solvable models in two-dimensional relativistic theories (1981). He co-authored the BPZ paper (1984) with Alexander Polyakov and Alexander Zamolodchikov on two-dimensional conformal field theory, which became important for string theory. With Vadim Knizhnik he obtained the Belavin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
BRST Quantization
In theoretical physics, the BRST formalism, or BRST quantization (where the ''BRST'' refers to the last names of Carlo Becchi, , Raymond Stora and Igor Tyutin) denotes a relatively rigorous mathematical approach to Quantization (physics), quantizing a quantum field theory, field theory with a gauge symmetry. Quantization (physics), Quantization rules in earlier quantum field theory (QFT) frameworks resembled "prescriptions" or "heuristics" more than proofs, especially in non-abelian group, non-abelian QFT, where the use of "ghost fields" with superficially bizarre properties is almost unavoidable for technical reasons related to renormalization and anomaly cancellation. The BRST global supersymmetry introduced in the mid-1970s was quickly understood to rationalize the introduction of these Faddeev–Popov ghosts and their exclusion from "physical" asymptotic states when performing QFT calculations. Crucially, this symmetry of the path integral is preserved in loop order, and thu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conformal Field Theory
A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions, there is an infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified. Conformal field theory has important applications to condensed matter physics, statistical mechanics, quantum statistical mechanics, and string theory. Statistical and condensed matter systems are indeed often conformally invariant at their thermodynamic or quantum critical points. Scale invariance vs conformal invariance In quantum field theory, scale invariance is a common and natural symmetry, because any fixed point of the renormalization group is by definition scale invariant. Conformal symmetry is stronger than scale invariance, and one needs additional assumptions to argue that it should appear in nature. The basic idea behind its plausibility is that ''local'' scale invariant theories have their ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Antti Kupiainen
Antti Kupiainen (born 23 June 1954, Varkaus, Finland) is a Finnish mathematical physicist. Education and career Kupiainen completed his undergraduate education in 1976 at the Technical University of Helsinki and received his Ph.D. in 1979 from Princeton University under Thomas C. Spencer (and Barry Simon) with thesis ''Some rigorous results on the 1/n expansion''. As a postdoc he spent the academic year 1979/80 at Harvard University and then did research at the University of Helsinki. He became a professor of mathematics in 1989 at Rutgers University and in 1991 at the University of Helsinki. In 1984/85 he was the Loeb Lecturer at Harvard. He was several times a visiting scholar at the Institute for Advanced Study. He was a visiting professor at a number of institutions, including IHES, University of California, Santa Barbara, MSRI, École normale supérieure, and Institut Henri Poincaré. He was twice an invited speaker at the International Congress of Mathematicians; his ICM t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
