Equivariant inverse spectral theory and toric orbifolds

Let O-2n be a symplectic toric orbifold with a fixed T-n-action and with a tonic Kahler metric g. In [10] we explored whether, when O is a manifold, the equivariant spectrum of the Laplace Delta(g) operator on C-infinity(O) determines O up to symplectomorphism. In the setting of tonic orbifolds we shmilicantly improve upon our previous results and show that a generic tone orbifold is determined by its equivariant spectrum, up to two possibilities. This involves developing the asymptotic expansion of the heat trace on an orbifold in the presence of an isometry. We also show that the equivariant spectrum determines whether the toric Kahler metric has constant scalar curvature. (C) 2012 Elsevier Inc. All rights reserved.

The Modernity of la Mode: a History of the French Revolution Through the Lens of Fashion, Culture, and Identity

In my thesis, I explore the cultural history of the French Revolution and its relation to the modern era which ensued. Many historians have studied the French Revolution as it relates to culture, the rise of modernity, and fashion. I combine the unique histories of all three of these aspects to reach an understanding of the history of the French Revolution and fashion’s role in bringing about change. In the majority of literature of costume history, discussion of fashion surrounds its reflective properties. Many historians conclude fashion as a reflection of the broader cultural shifts that occurred during the Revolution. I, on the other hand, propose that fashion is an active force in bringing out cultural change during this time. In exploring fashion as a historical motivator, I examine the aesthetic world of fashion from 1740 to 1815, the modern system of cultural dissemination of fashion through particular historical heroes, and the rise of “taste” and its relation to modern identity. Through aesthetics, culture, and identity, I argue that fashion is a decisive force of culture in that it creates a visual world through which ideas form and communicate.

Self-Immolation In Tibet: Beyond The Lens Of The Western Media

This thesis provides a critique of Western media articles concerning self-immolation in Tibet. I begin by illustrating how the Western media provides reductionist accounts of Tibetan self-immolation by depicting the act solely as a form of political protest in response to Chinese occupation. I argue that these limited portrayals of self-immolation can be attributed to the Shangri-La imagery that characterizes much of the Western conceptions of Tibet. Through Shangri-La imagery, both Tibetans and their Buddhist religion are portrayed as utopic, peaceful, and able to provide the antidote to solving Western problems relating to modernization and consumerism. After illustrating the ways in which Shangri-La imagery influences Western media portrayals of Tibetan self-immolation, this thesis explores the commonly disregarded Buddhist dimensions of the act. Looking to Buddhist doctrine, scripture, and history, this thesis establishes a clear relationship between self-immolation and Buddhism, which situates the act as being more complicated than mere political protest. I argue that these limited portrayals given by the Western media are problematic because they overlook a fundamental aspect of self-immolation, thus potentially misrepresenting Tibetans. This thesis explores the Buddhist dimensions of self-immolation as a possible way to further understand what has led more than one hundred Tibetans to perform this act during the time of political crisis.