Mathematics and Research Policy: • Starts at Unicph 1963 2004: Institut for Grundvidenskab (Including Chemistry); a View Back on Activities, I Was • Cand.Scient

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mathematics at KVL Mogens Flensted-Jensen a few dates Updates: Tomas Vils Pedersen lektor 2000- Henrik L. Pedersen lektor 2002-2012 Professor 2012 - Retirement Lecture May 3 2013 • Born 1942 Department Names • Student 1961 1975: Institut for Matematik og Statistik; 1991: Institut for Matematik og Fysik; Mathematics and Research policy: • Starts at UniCph 1963 2004: Institut for Grundvidenskab (including chemistry); A view back on activities, I was • Cand.scient. 1968 2009: Institut for Grundvidenskab og Miljø • Ass.prof.(lektor) 1973 2012: happy to take part in. • Professor KVL 1979 • Professor UniCph 2007 (at IGM by “infusion”)

• Professor UniCph 2012 (at IMF by “confusion”) Mogens Flensted-Jensen • Emeritus 2012 2012: Institut for Matematiske Fag Department of Mathematical Sciences Homepage: http://www.math.ku.dk/~mfj/

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

st June 1 1979 I left KU for Landbohøjskolen June 1st 1979 – Sept. 30th 2012 Mathematics and Research policy Great celebration! My lecture will focus on three themes:  Mathematics: Analysis on Symmetric spaces, spherical functions and the discrete spectrum.  Research council work: From the national research councils to the creation of the ERC (European Research Council).  My journey from University of Copenhagen to “Landbohøjskolen” and the “infusion” back again.

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mathematics: Analysis on Symmetric spaces, spherical Børge Jessen Is pure mathematics useful? functions and the discrete spectrum. Børge Jessen: Selected Topics in Analysis Ordsprogenens Bog 7:29 “Gud skabte • I was introduced to Fourier integrals mennesket som de burde være; men de har Esben Kehlet: Functional analysis så mange sære ting for”. • Master thesis: Disintegration of von Neumann algebras Werner Fenchel: Geometry and analysis • Go to The Mittag-Leffler Institute! Ecclesiastes 7:29 “Lo, this only have I found, Sigurdur Helgason: Symmetric spaces and spherical functions that God hath made man upright; but they • My mathematical “fate” was established have sought out many inventions.”. Tom H. Koornwinder: Special functions • The Fourier-Jacobi transform Jacques Faraut: Invitation to Tunis • New Idea: Duality between Riemannian and Non- Riemannian symmetric spaces MIT 1976-77: • David Vogan: Minimal K-types • Toshihiko Matsuki: Closed orbits

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

Sigurdur Helgason Mittag-Leffler Institute Mittag-Leffler Institute - Housing 1970-71 and 1995 A new idea! In the spring of 1975 Jacques Faraut invited me to spend one month I Tunis. One day on the bus coming back from the university, I suddenly realized a relation between “SL(2,C)” and “SL(2,R)” coming from their embedding in “SO(2,2)”. This led me to, what I later called “a duality between non-Riemannian and Riemannian symmetric spaces”.

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

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A Symmetric Space is an affine manifold for which the geodesic reflection in any point is an affine isomorphism

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

Spherical Functions on a Symmetric Space G/K Discrete Series for Symmetric Spaces

General non-Riemannian Symmetric Spaces G/H

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences May 3 2013 My D.Sc. defense 1980 A long formula:

The classical addition formula for the cosine function: cos(x+y) = cos(x)cos(y) - sin(x)sin(y)

With Tom Koornwinder: The Fourier-Jacobi transform

The addition formula: φλ(akb) = φλ(a) φλ(b) + ...... + …..

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Mogens Flensted-Jensen - Department of Mathematical Sciences Highlight 1: Harish-Chandra Highlight 2: Helgason Travels with mathematics 1978 - 1999 Plancherel Formula for G Geometric Analysis on G/K Kleebach, Lyminy, Bielefeld, Oberwolfach, Discrete series Spherical functions and Strasbourg, Paris, Oslo, Les-Plain-s-Bex/Sch, Paley-Wiener Asymptotic Garwitz/DDR, Torino, Leiden, Amsterdam, theorems expansions Maryland, St. Louis, MIT, San Diego, Athens/GA, Poisson transform: Reykjavik, Tunis, Nancy, Lyon, Bern, Utrecht, Spherical functions Helgason conjecture Hamburg, Tokyo, Kyoto, Hiroshima, Adelaide, Key Paper: Key paper: Sydney, Göttingen, Main, Abijan, Dubrovnik, Srini/Tjek., Nice, Cornell, San Antonio, Stockholm, Lund, Uppsala, Lindköping, Edingburgh.

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Highlight 3: Kashiwara et al. Highlight 4: Arthur Highlight 5: Flensted-Jensen Solution to Helgason Conjecture for G/K Paley-Wiener Theorem for G Existence of Discrete Series for G/H Ideas from Campoli- Duality between non-compact and non- Hyperfunctions Wallach Riemannian symmetric spaces Systems of PDE’s with Abstract intertwining A rank condition regular singularities relations A simple formula for the discrete series Analytic continuation Key paper: Key paper: Key paper: J. Arthur: A Paley-Wiener theorem for real reductive groups. Acta Math. 150 (1983), 1-90

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May 3 2013 Highlight 7: Oshima-Matsuki Highlight 6: Oshima Classification of Discrete Series for G/H Solution to MFJ Highlight 8: Delorme Plancherel Formula for G/H conjecture for G/H Closed orbits Key paper: PDE’s with regular singularieties Boundary relations and boundary values Truncations Schwartz space considerations Key ”paper”:

Key paper: Delorme Patrick Formule de Plancherel pour les espaces symétriques réductifs Ann. of Math. (2) 147, no. 2, 417--452, 1998

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May 3 2013 Mogens Flensted-Jensen - Department of Mathematical Sciences

Plancherel Formula for G/H Highlight 9: Ban-Schlichtkrull MLI November 1995 Paley-Wiener Theorem for G/H

Spherical distributions Residue calculus Abstract intertwining relation

Paley-Wiener Theorem for G/H MLI November 1995 Key paper: E.P. van den Ban and H. Schlichtkrull The Paley–Wiener theorem for a reductive symmetric space,

Annals of Math. 164 (2006), 879–909. May 3 2013 35 Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department May 3 2013 34 of Mathematical Sciences Dias 36

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Japan August 1986

A few snapshots

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

Roskilde 1992 – Helgason 65 years! Drawing by Saint-Exupéry

At the Shock-price ceremony for Andrew Wiles

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences May 3 2013 Drawing by Saint-Exupéry Drawing by Saint-Exupéry The Mathematics Doing mathematical research is a kind of art:

 You must understand (to a certain extend) the known mathematical world (theory)  You must see some “interesting” unexplored region  You must begin to explore such a region  You design or discover the right “map” of the region (i.e. formulate a hypothesis) – This is the “art” part  You must prove it rigorously – This is where you need craftsmanship and ingenuity

In this connection we, mathematicians, talk about Beauty! May 3 2013 May 3 2013 Mogens Flensted-Jensen - Department of Mathematical Sciences Dias 46 Dias 47 Dias 48

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May 3 2013 Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Abel Prize to Srinivasa S. R. Varadhan 2007 In mathematics we talk about Research council work: From the national research councils to the creation of the ERC “beauty” (European Research Council).

When the “art” of designing the “map” SJVF (Danish Agricultural and gives a result, which is Veterinary Research Council) • Chairman 1997-2003  Build on easy accessible concepts  Easy to conceive and understand the structure and the content  Has not been understood before  Is difficult to prove rigorously

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

Danish EU-presidency European Science Foundation November 2002  Danish EU-presidency Autumn 2002 Conference October 7- conference October 7-8 8: Do we need a European Research Council? 2002

 Mogens Flensted-Jensen, Chairman, Board of the Danish Research councils  Enric Banda, secretary general of ESF  Sven Frøkjær, Danish Medical Research Council  Knud Larsen from the ministry of Science, Technology and Innovation  Pär Omling, Swedish Research Council  Nina Prætorius, Danish Research Council for the Humanities  Clara de la Tore, European Commission  Peder Olesen Larsen, former chair of the National Danish Research Foundation  Vibeke Hein Olsen and David Grønbæk of the Research Agency

 ERCEG: European Research Council Expert Group 2003

 Hard work 2003-2004

 Dan Brändström, Director of the Bank of Sweden Tercentenary Foundation Great Success!  Olle Edqvist, his assistant  Vibeke Hein Olsen, Danish Research Agency

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

ERCEG: European Research Council Expert Group 2003 ERCEG: European Research Council Expert Group 2003 “The Mayor group” Mayor report Three essential problems: The members of the Expert Group December 2003 Professor Federico Mayor, Chair Professor Peter Nijkamp, observer NL • The ERC should rest its support solely on Professor Mogens Flensted-Jensen, Mr Peter Kind, observer EC scientific merits. Vice Chair Professor Dan Brändström, Secretary Professor Norbert Kroó, • Oversubscription Dr. Wilhelm Krull, Professor David J. McConnell •Subsidiarity Professor Gérard Mégie Professor Helga Nowotny Dr John Taylor Autonomy Mrs Myrsini Zorba Director General of DG Research, Achilleas Mitsos: Funding • European wide competition on investigator-driven Accountability research is an added value Governance Specific mission

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

Harris ReportMogens May Flensted-Jensen 2005 - Department of Mathematical Sciences Commissionaire Philippe Busquin at Nobel Party 2003 Frontier Research: The European Challenge High-Level Expert Group Report • Europe need more basic research Funding of research through a European-wide competition: • I hope you can create a European • Added value above and beyond what can be achieved at the national level Research Council • The single most important means to remedy Europe’s current • So we can have a competition weakness in high quality research between the best teams of The main benefits of the ERC include the following: • Encouraging and supporting the finest talent research on an European level • Selectivity, agility and focus • Status and visibility for research leaders • Dynamic structural effects on the European research system • Economic benefits • Societal benefits

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

The Proposal for FP7 ERC 5 years celebration I Brussels ARC in Singapore 2006-20013 2007 – 2013 March 28 2012 Academic Research Council giving advice to Singapore Government on Research and university policy. EC April 2005 Research Centers of Excellence in Singapore. (Each ~ DKR 600.000 over 5‐10 years) (Numbers by April 2005 – reduced somewhat later)  Singapore Center on Environmental Life Sciences Engineering Co-operation 44.7 bil. Euro (4-9/Y) The Centre is led by Professor Staffan Kjelleberg, Scientia Professor from the University of New South Wales, Sydney Australia Ideas (ERC) 11.9 bil. Euro (1-2.5/Y)  Mechanobiology Institute, Singapore People (M-C) 7.2 bil. Euro (0.5-1.6/Y) The Mechanobiology Institute, Singapore is led by Professor Michael Sheetz, professor from the Department of Biological Sciences at Columbia University. Capacity 7.5 bil. Euro (0.6-1.6/Y  Earth Observatory of Singapore

The EOS is led by Professor Kerry Sieh, a former Professor of Geology in Caltech and chaired professor in Caltech's Tectonics Observatory ERC was created in 2007 with a  Cancer Science Institute of Singapore budget growing up to about 2 The CSI Singapore is led by Professor Daniel Tenen from Harvard Medical School.  Centre for Quantum Technologies billion Euros a year Headed by Professor Artur Ekert (Professor of Quantum Physics, University of Oxford),

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences From University of Copenhagen to The Nobel Party 2009 Institut for matematik og statistik 1989 Landbohøjskolen” and the “infusion” back.

•Teaching • Mathematics: Research and travel •Fagråd •IT-administration • PhD-education policy • Konsistorium •Dina • Research councils • Evaluation of Danish education (Math, Phys, Chem) • Research based public service • Vice-dean for teaching • Fusion processes • Great colleagues

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

Danish Informatics Network in the Agricultural Sciences

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

Mathematics is easy Mathematics is easy

My Colleague Poul Einer Hansen Proof: LIFE is difficult! and Roal Als

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

Interesting translation by Poul Einer: Mats Rudemo Professor of Statistics Poul Einer’s A great Colleague! Poem to him!

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Updates: Research based Tomas Vils Pedersen lektor 2000- Henrik L. Pedersen lektor 2002-2012 Public-service Professor 2012 -

Many fusions!! 1975: Institut for Matematik og Statistik; 1991: Institut for Matematik og Fysik; 2004: Institut for Grundvidenskab (including chemistry); 2009: Institut for Grundvidenskab og Miljø 2012:

2012: Institut for Matematiske Fag

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences

Pointing to the future: I hope that Thank You!

 I want to thank my many colleagues and  the question about cuspidality for semisimple collaborators within and outside of symmetric spaces G/H can be solved. mathematics!  the ERC shall continuously develop as the place for “the Olympics” in European research.  In particular I want to thank my wife, Inger,  the research based public‐sector service along with and our children, Mads and Mikala for their research based teaching will grow in quality and in support and bearing with me during the years. mutual respect.  we, after the “infusion”, can preserve and develop the strong KVL‐spirit of being at the university not only for our own research, but also in order to assist students and researcher’s from other fields.

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Mogens Flensted-Jensen - Department of Mathematical Sciences Mogens Flensted-Jensen - Department of Mathematical Sciences Thank you very much for listening to me!

You are all most welcome to the reception on the 4th floor of the Math-building Mogens Flensted-Jensen, Professor of Mathematics (Emeritus) Department of Mathematical Sciences University of Copenhagen Universitetsparken 5 DK-2100 Copenhagen Ø Phone: +45 35 32 07 80 Mobile:+45 26 31 26 65 E-mail: [email protected] Homepage: http://www.math.ku.dk/~mfj/

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