000			03995nam a22004695i 4500
001			978-0-387-23534-9
003			DE-He213
005			20250710083929.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387235349 _a99780387235349
024	7		_a10.1007/b101762 _2doi
082	0	4	_a512 _223
100	1		_aVoelklein, Helmut. _eeditor.
245	1	0	_aProgress in Galois Theory _h[recurso electrónico] : _bProceedings of John Thompson's 70th Birthday Conference / _cedited by Helmut Voelklein, Tanush Shaska.
264		1	_aBoston, MA : _bSpringer US, _c2005.
300			_aX, 168 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aDevelopments in Mathematics, _x1389-2177 ; _v12
505	0		_aSupplementary Thoughts on Symplectic Groups -- Automorphisms of the Modular Curve -- Reducing the Fontaine-Mazur Conjecture to Group Theory -- Relating Two Genus 0 Problems of John Thompson -- Relatively Projective Groups as Absolute Galois Groups -- Invariants of Binary Forms -- Some Classical Views on the Parameters of the Grothendieck-Teichmüller Group -- The Image of a Hurwitz Space Under the Moduli Map -- Very Simple Representations: Variations on a Theme of Clifford.
520			_aA recent trend in the field of Galois theory is to tie the previous theory of curve coverings (mostly of the Riemann sphere) and Hurwitz spaces (moduli spaces for such covers) with the theory of algebraic curves and their moduli spaces. A general survey of this is given in the article by Voelklein. Further exemplifications come in the articles of Guralnick on automorphisms of modular curves in positive characteristic, of Zarhin on the Galois module structure of the 2-division points of hyperelliptic curves and of Krishnamoorthy, Shashka and Voelklein on invariants of genus 2 curves. Abhyankar continues his work on explicit classes of polynomials in characteristic p>0 whose Glaois groups comprise entire families of Lie type groups in characteristic p. In his article, he proves a characterization of sympletic groups required for the identification of the Galois group of certain polynomials. The more abstract aspects come into play when considering the totality of Galois extensions of a given field. This leads to the study of absolute Galois groups and (profinite) fundamental groups. Haran and Jarden present a result on the problem of finding a group-theoretic characterization of absolute Galois groups. In a similar spirit, Boston studies infinite p-extensions of number fields unramified at p and makes a conjecture about a group-theoretic characterization of their Galois groups. He notes connections with the Fontaine-Mazur conjecture, knot theory and quantum field theory. Nakamura continues his work on relationships between the absolute Galois group of the rationals and the Grothendieck-Teichmüller group. Finally, Fried takes us on a tour of places where classical tropics like modular curves and j-line covers connect to the genus zero problems which was the starting point of the Guralnick-Thompson Conjecture. Audience This volume is suitable for graduate students and researchers in the field.
650		0	_aMATHEMATICS.
650		0	_aALGEBRA.
650		0	_aGEOMETRY, ALGEBRAIC.
650		0	_aGROUP THEORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aALGEBRA.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
650	2	4	_aALGEBRAIC GEOMETRY.
700	1		_aShaska, Tanush. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387235332
830		0	_aDevelopments in Mathematics, _x1389-2177 ; _v12
856	4	0	_uhttp://dx.doi.org/10.1007/b101762 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56221 _d56221