Numerical Computation of a Certain Dirichlet Series Attached to Siegel Modular Forms of Degree Two

The Rankin convolution type Dirichlet series D-F,D-G(s) of Siegel modular forms F and G of degree two, which was introduced by Kohnen and the second author, is computed numerically for various F and G. In particular, we prove that the series D-F,D-G(s), which shares the same functional equation and analytic behavior with the spinor L-functions of eigenforms of the same weight are not linear combinations of those. In order to conduct these experiments a numerical method to compute the Petersson scalar products of Jacobi Forms is developed and discussed in detail.

Zeros of Weakly Holomorphic Modular Forms of Levels 2 and 3

Let M-k(#)(N) be the space of weakly holomorphic modular forms for Gamma(0)(N) that are holomorphic at all cusps except possibly at infinity. We study a canonical basis for M-k(#)(2) and M-k(#)(3) and prove that almost all modular forms in this basis have the property that the majority of their zeros in a fundamental domain lie on a lower boundary arc of the fundamental domain.

"Framing Counterspaces: Forms and Meanings of Graffiti in Berlin's Linguistic Landscape"

Street art and graffiti are integral parts of Berlin’s urban space, which has undergone dramatic transformations in the past two decades. Graffiti texts constitute a critical comment on these urban transformations. This talk analyzes the connection between the phenomenon of street art and trajectories in urban planning in post-wall Berlin. My current research explores the meaning of various forms of street art (such as graffiti, posters, sticker art, stencils) as texts in Berlin’s linguistic landscape. Linguistic Landscape research pays critical attention to language, words, and images displayed and exposed in public spaces. The field of Linguistic Landscapes has only recently begun to include graffiti texts in analyses of text and space to fully comprehend the semiotics of the street. In the case of Germany’s capital, graffiti writing enters into a critical dialogue with the environment and provides a readable text to understand the city.

Computations of Vector-Valued Siegel Modular Forms

We carry out some computations of vector-valued Siegel modular forms of degree two, weight (k, 2) and level one, and highlight three experimental results: (1) we identify a rational eigenform in a three-dimensional space of cusp forms; (2) we observe that non-cuspidal eigenforms of level one are not always rational; (3) we verify a number of cases of conjectures about congruences between classical modular forms and Siegel modular forms. Our approach is based on Satoh's description of the module of vector-valued Siegel modular forms of weight (k, 2) and an explicit description of the Hecke action on Fourier expansions. (C) 2013 Elsevier Inc. All rights reserved.

Bacchus and Civic Order: The Culture of Drink in Early Modern Germany / Bacchus und die bürgerliche Ordnung. Die Kultur des Trinkens im frühneuzeitlichen Augsburg

Lining the streets inside the city's gates, clustered in its center, and thinly scattered among its back quarters were Augsburg's taverns and drinking rooms. These institutions ranged from the poorly lit rooms of backstreet wine sellers to the elaborate marble halls frequented by society's most privileged members. Urban drinking rooms provided more than food, drink, and lodging for their guests. They also conferred upon their visitors a sense of social identity commensurate with their status. Like all German cities, Augsburg during the sixteenth and seventeenth centuries had a history shaped by the political events attending the Reformation, the post-Reformation, and the Thirty Years' War; its social and political character was also reflected and supported by its public and private drinking rooms. In Bacchus and Civic Order: The Culture of Drink in Early Modern Germany, Ann Tlusty examines the social and cultural functions served by drinking and tavern life in Germany between 1500 and 1700, and challenges existing theories about urban identity, sociability, and power. Through her reconstruction of the social history of Augsburg, from beggars to council members, Tlusty also sheds light on such diverse topics as social ritual, gender and household relations, medical practice, and the concerns of civic leaders with public health and poverty. Drunkenness, dueling, and other forms of tavern comportment that may appear "disorderly" to us today turn out to be the inevitable, even desirable result of a society functioning according to its own rules.