000			02480nam a22003618i 4500
001			CR9780511627064
003			UkCbUP
005			20200124160218.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090916s2009||||enk o ||1 0|eng|d
020			_a9780511627064 (ebook)
020			_z9780521888509 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA214 _b.S95 2009
082	0	0	_a512/.32 _222
100	1		_aSzamuely, Tamás, _eauthor.
245	1	0	_aGalois groups and fundamental groups / _cTamás Szamuely.
246	3		_aGalois Groups & Fundamental Groups
264		1	_aCambridge : _bCambridge University Press, _c2009.
300			_a1 online resource (ix, 270 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge studies in advanced mathematics ; _v117
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aGalois theory of fields -- Fundamental groups in topology -- Riemann surfaces -- Fundamental groups of algebraic curves -- Fundamental groups of schemes -- Tannakian fundamental groups.
520			_aEver since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts. This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory. Assuming as little technical background as possible, the book starts with basic algebraic and topological concepts, but already presented from the modern viewpoint advocated by Grothendieck. This enables a systematic yet accessible development of the theories of fundamental groups of algebraic curves, fundamental groups of schemes, and Tannakian fundamental groups. The connection between fundamental groups and linear differential equations is also developed at increasing levels of generality. Key applications and recent results, for example on the inverse Galois problem, are given throughout.
650		0	_aGalois theory.
776	0	8	_iPrint version: _z9780521888509
830		0	_aCambridge studies in advanced mathematics ; _v117.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511627064
999			_c516473 _d516471