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X-WR-CALNAME:Ph.D. Thesis Defense
X-WR-TIMEZONE:America/New_York
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TZID:America/New_York
X-LIC-LOCATION:America/New_York
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TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:19700308T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
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TZOFFSETTO:-0500
TZNAME:EST
DTSTART:19701101T020000
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20130520T103000
DTEND;TZID=America/New_York:20130520T123000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=18651
SUMMARY:Ph.D. Thesis Defense - "Rigidity of periodic cyclic homology under 
 certain smooth deformations"
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: "Rigidity of periodic cyc
 lic homology under certain smooth deformations"\nSpeaker: Allan Yashinski
 \, Adviser:  Nigel Higson\, Penn State\nAbstract: Given a formal deformati
 on of an algebra\, Getzler defined a connection on the periodic cyclic hom
 ology of the deformation\, which he called the Gauss-Manin connection.  We
  define and study this connection for smooth one-parameter deformations.  
 Our main example is the smooth noncommutative n-torus viewed as a deformat
 ion of the algebra of smooth functions on the n-torus.  In this case\, we 
 use the Gauss-Manin connection to give a parallel translation argument tha
 t shows that the periodic cyclic homology groups of noncommutative tori ar
 e the same as in the commutative case.  As a consequence\, we obtain diffe
 rentiation formulas relating various cyclic cocycles on noncommutative tor
 i.\n\nBy considering the properties leveraged in the case of noncommutativ
 e tori\, we generalize to a larger class of deformations\, including nontr
 ivial crossed product algebras by the group of real numbers.  The algebras
  of such a deformation extend naturally to differential graded algebras\, 
 and we show that they are fiberwise isomorphic as A_infinity-algebras.  As
  a corollary\, periodic cyclic homology is preserved under this type of de
 formation.  In particular\, this gives yet another calculation of the peri
 odic cyclic homology of noncommutative tori and a proof of the Thom isomor
 phism in cyclic homology.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20130520T143000
DTEND;TZID=America/New_York:20130520T163000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=18683
SUMMARY:Ph.D. Thesis Defense - "A Model of Intuitionism Based on Turing Deg
 ress"
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: "A Model of Intuitionism 
 Based on Turing Degress"\nSpeaker: Sankha Basu\, Adviser:  Stephen Simpson
 \, Penn State\nAbstract: Intuitionism is a constructive approach to mathem
 atics introduced in the early part of the twetieth century by L. E. J. Bro
 uwer and formalized by his student A. Heyting. A. N. Kolmogorov\, in 1932
 \, gave a natural but non-rigorous interpretation of intuitionism as a cal
 culus of problems. In this document\, we present a rigorous implementation
  of Kolmogorov's ideas to higher-order intuitionistic logic using sheaves 
 over the poset of Turing degrees with the topology of upward closed sets. 
 This model is aptly named as the Muchnik topos\, since the lattice of upwa
 rd closed subsets of Turing degrees is isomorphic to the lattice of Muchni
 k degrees which were introduced in 1963 by A. A. Muchnik in an attempt to 
 formalize the notion of a problem in Kolmogorov's calculus of problems.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20130529T020000
DTEND;TZID=America/New_York:20130529T040000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=18754
SUMMARY:Ph.D. Thesis Defense - TBA
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: TBA\nSpeaker: Xiang Ji\, 
 Adviser:  Ping Xu\, Penn State\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20130620T150000
DTEND;TZID=America/New_York:20130620T170000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=18752
SUMMARY:Ph.D. Thesis Defense - "On the number of a x b quotient diagrams of
  integer partitions"
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: "On the number of a x b q
 uotient diagrams of integer partitions"\nSpeaker: Matt Katz\, Adviser:  Ge
 orge E. Andrews\, Penn State\nAbstract Link: http://\nAbstract: We will di
 scuss the progress of the problem of enumerating the a x b quotient diagra
 ms of integer partitions.  Specifically\, we will see how recent methods d
 eveloped by the speaker can be used to elucidate the connection between qu
 otient diagrams and t-core partitions and provide a generating function fo
 r the number of 2 x 4 quotient diagrams.
END:VEVENT
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