LLP-IP at the Faculty of Mathematics and Computer Sciences 2012
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This Intensive Programme is designed to provide educational and research experience for advanced undergraduate and beginning graduate students. The scientific program consists of six mini-courses, problem sessions, and projects with computer lab and theoretical components. Projects will be performed in teams with students from different countries to provide a first-hand international experience.

Schedule - final version! (PDF)

Mini-courses


  • Automorphic forms with applications (Valentin Blomer, Georg-August-Universität Göttingen)
    • introduction to automorphic forms
    • arithmetic of Fourier coefficients
    • Ramanujan conjecture
    • Ramanujan graphs



  • Counting rational points on algebraic varieties (Jörg Brüdern, Georg-August-Universität Göttingen)
    • introduction to the circle method
    • Manin's conjecture for algebraic varieties
    • advanced analytic methods for point counting



  • Probabilistic Galois theory (Rainer Dietmann, University of London)
    • density of points on curves and surfaces
    • distribution of Galois groups
    • Hilbert's irreducibility theorem
    • large sieve



  • L-functions and equidistribution (Gergely Harcos, Central European University / Alfréd Rényi Institute of Mathematics)
    • L-functions of cusp forms
    • the subconvexity problem
    • shifted convolution problems
    • applications to equidistribution of Heegner points on the modular surface



  • Computational number theory and cryptography (Preda Mihailescu, Georg-August-Universität Göttingen)
    • introduction to elliptic curves and abelian varieties
    • algorithms of computational number theory
    • point counting on elliptic curves
    • curves of higher genus



  • Drinfeld modules (Mihran Papikian, The Pennsylvania State University)
    • arithmetic of function fields
    • zeta-functions
    • introduction to Drinfeld modules








Universität Göttingen

Kontakt

PD Dr. Hartje Kriete
Mathematische Fakultät
Georg-August-Universität Göttingen
Bunsenstr. 3/5
37073 Göttingen
Tel.: +49 (0) 551 39-7781
Fax : +49 (0) 551 39-22985
E-mail: summer@math.uni-goettingen.de