000			02965nam a22004695i 4500
001			978-3-642-23905-2
003			DE-He213
005			20140220083302.0
007			cr nn 008mamaa
008			120109s2012 gw | s |||| 0|eng d
020			_a9783642239052 _9978-3-642-23905-2
024	7		_a10.1007/978-3-642-23905-2 _2doi
050		4	_aQA241-247.5
072		7	_aPBH _2bicssc
072		7	_aMAT022000 _2bisacsh
082	0	4	_a512.7 _223
100	1		_aStix, Jakob. _eeditor.
245	1	4	_aThe Arithmetic of Fundamental Groups _h[electronic resource] : _bPIA 2010 / _cedited by Jakob Stix.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2012.
300			_aXII, 380p. 66 illus., 1 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aContributions in Mathematical and Computational Sciences ; _v2
520			_aIn the more than 100 years since the fundamental group was first introduced by Henri Poincaré it has evolved to play an important role in different areas of mathematics. Originally conceived as part of algebraic topology, this essential concept and its analogies have found numerous applications in mathematics that are still being investigated today, and which are explored in this volume, the result of a meeting at Heidelberg University that brought together mathematicians who use or study fundamental groups in their work with an eye towards applications in arithmetic. The book acknowledges the varied incarnations of the fundamental group: pro-finite, ℓ-adic, p-adic,  pro-algebraic and motivic. It explores a wealth of topics that range from anabelian geometry (in particular the section conjecture), the ℓ-adic polylogarithm, gonality questions of modular curves, vector bundles in connection with monodromy, and relative pro-algebraic completions, to a motivic version of Minhyong Kim's non-abelian Chabauty method and p-adic integration after Coleman. The editor has also included the abstracts of all the talks given at the Heidelberg meeting, as well as the notes on Coleman integration and on Grothendieck's fundamental group with a view towards anabelian geometry taken from a series of introductory lectures given by Amnon Besser and Tamás Szamuely, respectively.
650		0	_aMathematics.
650		0	_aGeometry, algebraic.
650		0	_aNumber theory.
650		0	_aTopology.
650	1	4	_aMathematics.
650	2	4	_aNumber Theory.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aTopology.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642239045
830		0	_aContributions in Mathematical and Computational Sciences ; _v2
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-23905-2
912			_aZDB-2-SMA
999			_c102236 _d102236