Modular functions and modular forms - James Milne
case of the theorem says that every simply connected open subset of C different from C is isomorphic to D. This is proved in Cartan 1963, VI, ’3. The general statement is the famous Uniformization Theorem, which was proved independently by Koebe and Poincare in 1907.´ See mo10516 for a discussion of the various proofs. 2 5
Download Modular functions and modular forms - James Milne
Information
Domain:
Source:
Link to this page:
Documents from same domain
Algebraic Geometry - James Milne
www.jmilne.orgIntroduction There is almost nothing left to discover in geometry. Descartes, March 26, 1619 Just as the starting point of linear algebra is the study of the solutions of systems of
J.S. Milne
www.jmilne.orgauthor={Milne, James S.}, title={Group Theory (v3.13)}, year={2013}, ... GAP is an open source computer algebra program, emphasizing computational group theory.
J.S. Milne
www.jmilne.orgGroup Theory J.S. Milne S3 r D 1 2 3 2 3 1 f D 1 2 3 1 3 2 Version 3.10 September 24, 2010. A more recent version of these notes is available at www.jmilne.org/math/
Algebraic Number Theory - James Milne
www.jmilne.orgAn algebraic number field is a finite extension of Q; an algebraic number is an element of an algebraic number field. Algebraic number theory studies the arithmetic of algebraic
Shimura Varieties and Moduli - James Milne
www.jmilne.orgShimura Varieties and Moduli J.S. Milne April 30, 2011, v2.00 Abstract Connected Shimura varieties are the quotients of hermitian symmetric domains
Motives — Grothendieck's Dream
www.jmilne.orgMotives — Grothendieck’s Dream James S. Milne April 24, 2012; v2.04 Abstract Grothendieck introduced the notion of a “motif” in a letter to Serre in 1964.
Algebraic Groups - James Milne
www.jmilne.orgbut the most serious students. By considering only schemes algebraic over a field, we avoid many of the technicalities that plague the general theory.
J.S. Milne: Elliptic Curves
www.jmilne.orgPreface In early 1996, I taught a course on elliptic curves. Since this was not long after Wiles hadprovedFermat’sLast TheoremandI promisedto explainsome ofthe
The tikz package
www.jmilne.orgThe tikz package This is a general purpose graphics package. To load it for this document, I used: \usepackage{tikz} \usetikzlibrary{matrix,arrows,decorations.pathmorphing}
Modular functions and modular forms - James Milne
www.jmilne.orgPREREQUISITES The algebra and complex analysis usually covered in advanced undergraduate or first-year graduate courses. REFERENCES A reference monnnnn is to question nnnnn on mathoverflow.net.
Related documents
Abstract Algebra Theory and Applications
abstract.ups.eduAug 16, 2013 · y touching on eld theory, using Chapters 1 through 6, 9, 10, 11, 13 (the rst part), 16, 17, 18 (the rst part), 20, and 21. Parts of these chapters could be deleted and applications substituted according to the interests of the students and the instructor. A two-semester course emphasizing theory might cover Chapters 1 through 6,
MA3D5 Galois theory - Warwick
homepages.warwick.ac.ukMA3D5 Galois theory Miles Reid Jan{Mar 2004 printed Jan 2014 Contents 1 The theory of equations 3 ... The proof of the fundamental theorem is analytic, and is given in topology (winding number) or in complex analysis (contour integral). 1\Quantity" is explained in Exercise 2.3 below. For the moment, bear in mind the