Lattices and applications in number theory. Abstracts from the workshop held January 17–23, 2016. (English) Zbl 1380.00058

Oberwolfach Rep. 13, No. 1, 87-154 (2016).

Summary: This is a report on the workshop on Lattices and Applications in Number Theory held in Oberwolfach, from January 17 to January 23, 2016. The workshop brought together people working in various areas related to the field: classical geometry of numbers, packings, Diophantine approximation, Arakelov geometry, cohomology of arithmetic groups, algebraic modular forms and Hecke operators, algebraic topology. The meeting consisted of a few long talks which included an introductory part to each of the topics in the previous list, and a series of shorter talks mainly devoted to recent developments. The present report contains extended abstracts of all presentations.

MSC:

00B05	Collections of abstracts of lectures
00B25	Proceedings of conferences of miscellaneous specific interest
11F75	Cohomology of arithmetic groups
11H31	Lattice packing and covering (number-theoretic aspects)
11H55	Quadratic forms (reduction theory, extreme forms, etc.)
14G40	Arithmetic varieties and schemes; Arakelov theory; heights
20H10	Fuchsian groups and their generalizations (group-theoretic aspects)
22E57	Geometric Langlands program: representation-theoretic aspects
11-06	Proceedings, conferences, collections, etc. pertaining to number theory