Notre Dame Clavius Activities Summer of 2005

List of Clavius mathematicians

Hugh Albright FSC
Tom Banchoff
Adam Bartoszek
John Blanton
Tom Cecil
Lawrence Conlon
Margaret Freije
Richard Freije
Pedro Ferreira SJ
James Heitsch
Michele Intermont
Ron Knill
Jack Lutts
Maura Mast

Michael May SJ
John Poluikis CSB
Sr Barbara Reynolds SDS
Patrick Ryan
Paul Schweitzer SJ
Dennis Snow
Joanne Snow
James Stasheff
William Stoeger SJ
Pedro Suarez SJ
Andrius Tamulis
Carlos Vasco
Julio Vidaurrazaga
Pawel Walczak
Andrew Whitman SJ

Invited Colleagues 2005
Jonathan Engel, Penn State University
Ellen Gasparovic, College of the Holy Cross
Heather Johnson, College of the Holy Cross

Clavius Community Notes

2005 Notre Dame, Notre Dame, Indiana
Meeting #43: 3 July to 30 July

At the invitation of the University of Notre Dame and its Department of Mathematics, and with the help of Dr. James Powell, Associate Dean of the Graduate School and Director of Summer Session, the Clavius group gathered at Notre Dame for its forty-third session. We were provided with a lecture room (Hayes-Healy 117) for our seminars and talks and access to office space, photocopying, printing services, email and the web. As on our previous visits to Notre Dame we were housed in the O’Hara-Grace Graduate Residences. Each unit had a bedroom, bath, kitchen and gathering area. One of the units was used for daily Mass, another for social hours, and a third for community-prepared suppers as well as pick-up lunches. The arrangement made it possible for us to continue our vibrant community life. The participants this summer consisted of four Jesuits, one other priest, one sister, nine married couples, three other lay persons and three guests. Twenty Clavius mathematicians participated in the mathematical sessions, along with several members of the Notre Dame faculty. Many guests from the Notre Dame community joined in celebrating the feast of St. Ignatius with Mass in the Commons followed by a buffet dinner.

Symposium on Christoph Clavius (1538 — 1612)Thursday, July 21, 2005This event was sponsored by the Clavius Mathematical Research Group, the Notre Dame Library, and the Department of Mathematics.

Program
Dedication to the Rev. Joseph MacDonnell, SJ

An overview of Clavius’ life and work
Paul Schweitzer, SJ
Departmento de Matematica, Pontificia Universidade Catolica do Rio de Janiero

Clavius’ contribution to the Gregorian calendar reform
Dennis Snow
Department of Mathematics, University of Notre Dame

What’s so great about mathematics? Some Renaissance responses
Robert Goulding, Program in the History and Philosophy of Science, University of Notre Dame

Reception

The Clavius Project, Putting Clavius’ Opera Matematica on line
Parker Ladwig, Mathematics Library, University of Notre Dame

Memorial Mass for Rev. John MacDonnell, SJ and Rev. Joseph MacDonnell, SJ
Rev. Andrew P. Whitman, SJ, Celebrant and Homilist

Paul Schweitzer lecturing on Clavius’ life and work

Andy Whitman celebrating the Memorial Mass

The Opera Matematica on line can be found at http://mathematics.library.nd.edu/clavius/

Faith Discussions 2005

July 11, Discussion led by Lori Ryan, based on a talk by Bishop Pedro Casaldaliga Pia on “Another way of being Church”
July 14, Discussion led by Fr. Theodore Hesburgh, CSC, on the role of a Catholic university
July 25, Discussion led by Sr. Barbara Reynolds, SDS, on the role of Rev. John Courtney Murray in clarifying Church-State relations, especially in the US

Seminars 2005

Clavius Colloquium

July 11: Paul Schweitzer, Foliations of closed 4-manifolds whose leaves have Thurston geometries
July 15: Paul Schweitzer, An extension of Arnol’d’s asymptotic linking invariant for flows to actions of R^k [work of Jos Luis Lizarbe-Chira]
July 22: Thomas Banchoff, Cartan’s isoparametric 3-manifolds: the polyhedral version
July 25: Andrius Tamulis, Fra Luca Pacioli: An introduction

Special Topics Seminar

July 8, 11: Jonathan Engle, Loop Quantum Gravity
July 12: Jonathan Engle, Symmetry in Quantum Field Theory
July 15: Dennis Snow, Estimating canonical imbedding dimensions using representation theory
July 18: Michele Intermont, The sound of algebra
July 19: Pawel Walczak, Surfaces and foliations with constant conformal invariants
July 26: Mike May, Enhancing Calculus with a collection of Java applets
July 26: Barbara Reynolds, Making the mathematics visible: Deeper understanding through dynamic geometry
July 26: Christine Heitsch, Combinatorial results motivated by computational biology
July 27: Thomas Banchoff, Impossibility of imbedding the projective plane and the Klein bottle in E³
July 28: James Heitsch, Index theory and noncommutative geometry

Differential Geometry Seminar

July 7, 8, 11, 12: Patrick Ryan, A new class of ruled real hypersurfaces in complex hyperbolic space
July 14, 15, 18: Thomas Cecil, Introduction to Lie sphere geometry
July 18: Ellen Gasparovic and Heather Johnson, Isometries of the hyperbolic plane
July 19: Cabral Balreira (University of Notre Dame), Invertibility and the topology of hyperplane sections

Seminar on Real Representations of Real Semisimple Lie Algebras

Andy Whitman

July 5: Orientation and review
July 7, 11: Solvable Lie algebras
July 19, 22: Semisimple Lie algebras and the Killing form
July 25 The Casimir operator