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

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 |