Moduli spaces and modular forms. Abstracts from the workshop held April 24--30, 2016
type: Item
instance of: scholarly article
title: Moduli spaces and modular forms. Abstracts from the workshop held April 24--30, 2016
zbMATH Open document ID: 1380.00042
DOI: 10.4171/OWR/2016/23
published in: Oberwolfach Reports
publication date: 2018-02-21T00:00:00Z
review text: Summary: The roots of both moduli spaces and modular forms go back to the theory of elliptic curves in the 19th century. Both topics have seen an enormous growth in the second half of the 20th century, but the interaction between the two remained limited. Recently there have been new developments that led to new points of contact between the two topics. One is the theory of K3 surfaces that is rapidly gaining a lot of new interest. Here the link with modular forms on orthogonal groups has led to progress on the Kodaira dimension of the moduli spaces of K3 surfaces. Another new development has been the use of moduli spaces of curves to gather new information about Siegel modular forms. The workshop intended to bring representatives from both the theory of moduli and the theory of modular forms together to further the interaction between the two topics as the time seemed ripe to do this.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 11-06
Mathematics Subject Classification ID: 14-06
Mathematics Subject Classification ID: 14Fxx
Mathematics Subject Classification ID: 14D20
Mathematics Subject Classification ID: 14J10
Mathematics Subject Classification ID: 14J28
zbMATH DE Number: 6841688
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6841688