Konferenzservice Mandl

Zusammenfassung: Physical duality symmetries relate special limits of the various consistent string theories (Types I, II, Heterotic string and their cousins, including F-theory) one to another. By comparing the mathematical descriptions of these theories, one reveals often quite deep and unexpected mathematical conjectures. The best known string duality to mathematicians, Type IIA/IIB duality also called {it mirror symmetry}, has inspired many new developments in algebraic and arithmetic geometry, number theory, toric geometry, Riemann surface theory, and infinite dimensional Lie algebras. Other string dualities such as Heterotic/Type II duality and F-Theory/Heterotic string duality have also, more recently, led to series of mathematical conjectures, many involving elliptic curves, K3 surfaces, and modular forms.

Zusammenfassung: The conference is dedicated to professor Paulo Ribenboim on the occasion of his 80-th birthday. The conference concentrates on all aspects of number theory: elementary, analytic, algebraic, computational number theory; elliptic curves, modular forms, arithmetic algebraic geometry. It will start on October 4, 2008, at 8:30am and it will conclude on October 5, around noon.

Zusammenfassung: The purpose of the workshop is to highlight the research of female number theorists.