**complex analysis on riemann surfaces contents** - *complex analysis on riemann surfaces math 213b harvard university number theory automorphic forms and theta functions let q exp iz on h then f q p de nition of sheaf cohomology the riemann sphere the simplest compact riemann surface is cb c 1with charts u*, **riemann surfaces sheaf theory riemann surfaces automorphic** - *riemann surfaces sheaf theory riemann surfaces automorphic forms book flavour flavour id 286492 book flavour be an awesome dad car chases drug busts helicopter*, **riemann surface in nlab** - *eberhard freitag riemann surfaces sheaf theory riemann surfaces automorphic forms 2013 last revised on november 18 2014 at 22 34 52 see the history of this page for a list of all contributions to it*, **riemann surface encyclopedia of mathematics** - *in the normal form of a finite riemann surface the number of sides is not necessarily even some sides corresponding to components of the boundary that remain free are not identified an important aspect of the theory of riemann surfaces is its connection with the concept of uniformization in general for a multiple valued analytic*, **riemann surfaces 1 de nitions math rug nl** - *riemann surfaces this course on riemann surfaces assumes that the reader is familiar with sheaf theory 1 de nitions a ringed space x o x is a topological space together with a sheaf of com mutative unitary rings o*, **eberhard freitag riemann surfaces sheaf theory riemann** - *eberhard freitag riemann surfaces sheaf theory riemann surfaces automorphic forms*, **riemann roch theorem wikipedia** - *initially proved as riemann s inequality by riemann 1857 the theorem reached its definitive form for riemann surfaces after work of the genus is an important topological invariant of a riemann surface on the other hand hodge theory shows that the and the gaga principle says that sheaf cohomology of an algebraic variety is the same*, **spectral theory on hyperbolic surfaces dartmouth college** - *spectral theory on hyperbolic surfaces david borthwick emory university july 2010 hyperbolic geometry fuchsian groups spectral theory selberg trace formula arithmetic surfaces automorphic forms a function f on h is equivalent to a function on h satisfying f gz f a riemann surface is a one dimensional complex manifold*