The Real-Quaternionic Indicator of Irreducible Self-Conjugate Representations of Real Reductive Algebraic Groups and A Comment on the Local Langlands Correspondence of GL(2, F )

The real-quaternionic indicator, also called the $\delta$ indicator, indicates if a self-conjugate representation is of real or quaternionic type. It is closely related to the Frobenius-Schur indicator, which we call the $\varepsilon$ indicator. The Frobenius-Schur indicator $\varepsilon(\pi)$ is known to be given by a particular value of the central character. We would like a similar result for the $\delta$ indicator. When $G$ is compact, $\delta(\pi)$ and $\varepsilon(\pi)$ coincide. In general, they are not necessarily the same. In this thesis, we will give a relation between the two indicators when $G$ is a real reductive algebraic group. This relation also leads to a formula for $\delta(\pi)$ in terms of the central character. For the second part, we consider the construction of the local Langlands correspondence of $GL(2,F)$ when $F$ is a non-Archimedean local field with odd residual characteristics. By re-examining the construction, we provide new proofs to some important properties of the correspondence. Namely, the construction is independent of the choice of additive character in the theta correspondence.

REVOLUTIONARY VIOLIN LITERATURE IN THE TRANSFORMATIVE PERIOD OF THE 20TH CENTURY, 1900-1970

In satisfaction of requirements for a Doctor of Musical Arts degree at the University of Maryland, College Park, three recitals were given consisting of works of the early 21st Century European composers. The works performed on these recitals showcase a variety of compositional styles that explore different qualities of the violin. The purpose of this project was to demonstrate how the war and conflict in Europe and attendant radical cultural and social developments affected these composers. The first recital program includes: Sonata for Violin and Cello and Piece en Forme de Habanera by Maurice Ravel; Op. 30 Mythesfor Violin and Piano by Karol Szymanowski; Concertina for Violin and Piano and Sonata No.2 for Violin Solo by Grazyna Bacewicz. The second recital program consists of: Sonata for Violin and Piano by Leos Janacek; Quartet for the End of Time: movement VIII "Louange a l'Immortalite de Jesus" by Oliver Messiaen; Sonata for Solo Violin by Erwin Schulhoff; and Passacaglia & Fuga for String Trio by Hans Krasa. The third recital highlights the works of Russian composers: Sonata for Violin and Piano Op.134 by Dmitri Shostakovich; and Violin Sonata No.2 in D major Op. 94 by Sergei Prokofiev. These composers represent individual, distinct and fascinating adaptation to events beyond their control as well as their power of transformation. The first recital was performed in collaboration with Hsiang-Ling Hsiao on piano and Gozde Yasar on cello. The second recital was given with Hsiang-Ling Hsiao on piano, Gozde Yasar on cello, and Asli Gultekin Ozek on viola. The third recital was performed with David Ballena on piano. The recitals were recorded on compact discs and are archived within the Digital Repository at the University of Maryland (DRUM).

The Legacy of Oboist and Master Teacher, Robert Bloom

Robert Bloom (1908-1994) was legendary in the education and performance world. Often hailed as one of the last performers of the Golden Era of classical music and a favorite of conductors ranging from Stokowski to Stravinsky to Shaw, Bloom was an orchestral oboist and English hornist, oboe soloist, chamber musician, teacher (Eastman, Yale, Hartt, Manhattan School of Music, Juilliard and Philadelphia's University of the Arts), composer, conductor, editor of masterworks of the 18th century, and, as a founding member of the Bach Aria group, a seminal influence in the post-WWII revival of Baroque music in America. In The Robert Bloom Collection and the Art of Robert Bloom CD and video archives, we see what his musical ideals were in 1)18th-century performance practices, 2) writing new music for the instrument and commissioning new works, and 3) and transcribing music for the oboe and English horn. As an oboist, I believe it is important that Bloom's teachings, historical performance practices and ideas for expanding repertoire are propagated. Therefore, the works chosen for this dissertation illustrated this legacy. My recitals included 1) some of Bloom's published 18th-century baroque elaborations (his term for ornamentation), as well Baroque works which I have elaborated, 2) works written by him and by other oboists/composers (Labate, Roseman) as well as a flute/oboe duo that I commissioned by Dr. Marcus Maroney and 3) transcriptions by both Bloom and myself (Bach, Donizetti, Mendelssohn, Mozart, Handel, Schumann and Telemann). In these three dissertation recitals, I hope to have illustrated some of Robert Bloom's lasting contributions and impact on the oboe world, and to have demonstrated the potential for carrying forward this legacy by studying his teaching and emulating his example.