INSTITUTE FOR MATHEMATICS AND SCIENTIFIC COMPUTING

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AlgNTh


Research group for Algebra and Number Theory


 

All talks are Thursday at 15.00-16.30, Room SR 11.32


Program of Lectures in SS 2012

15. 3. 2012 Günter Lettl: On square solutions of the Diophantine equation D_1 X^2 - D_2 Y^2 = c, c=1,2,4
22. 3. 2012 Sophie Frisch (TU Graz): On non-unique factorization in the ring of integer-valued polynomials
29. 3. 2012 Mario Weitzer (MUL Leoben): Gaussian Shift Radix Systems - Pethö's Loudspeaker
3. 5. 2012 Daniel Smertnig: The set of distances in totally definite quaternion algebras over number fields
10. 5. 2012
 
Nicholas Baeth (University of Central Missouri): Direct-sum decompositions of modules (1)
[15:15 - 16:15, SR 11.32]
10. 5. 2012
 
Andreas Reinhart: About r-SP-monoids and radical factorial monoids
[16:45 - 17:45, SR 11.32]
24. 5. 2012
 
Nicholas Baeth (University of Central Missouri): Direct-sum decompositions of modules (2)
[15:15 - 16:30, SR 11.32]
14. 6. 2012 David Grynkiewicz:
21. 6. 2012 David Grynkiewicz:
28. 6. 2012 David Grynkiewicz:


Program of Lectures in WS 2011/12

6. 10. 2011 Daniel Smertnig: Factorization in orders of central simple algebras (1)
13. 10. 2011 Daniel Smertnig: Factorization in orders of central simple algebras (2)
20. 10. 2011 Daniel Smertnig: Factorization in orders of central simple algebras (3)
3. 11. 2011 Daniel Smertnig: Factorization in orders of central simple algebras (4)
10. 11. 2011 Andreas Reinhart: On generalizations of factorial monoids (1)
17. 11. 2011 Andreas Reinhart: On generalizations of factorial monoids (2)
24. 11. 2011 Alfred Geroldinger: On products of two irreducible elements and characterizations of class groups (1)
1. 12. 2011 Alfred Geroldinger: On products of two irreducible elements and characterizations of class groups (2)
15. 12. 2011
 
Giulio Peruginelli (TU Graz): Elasticity of rings of integer-valued polynomials
[16.45 - 17.30, SR 11.32]
12.  1. 2012 Karin Baur: An introduction to cluster categories (1)
19.  1. 2012 Karin Baur: An introduction to cluster categories (2)
26.  1. 2012 Karin Baur: An introduction to cluster categories (3)



Program of Lectures in SS 2011

10. 3. 2011 Andreas Reinhart: C-monoids and seminormality (1)
17. 3. 2011 Andreas Reinhart: C-monoids and seminormality (2)
17. 3. 2011
 
Dusan Repovs (University of Ljubljana): The Busemann and the Bing-Borsuk Conjectures
[17.15 - 18.00, HS 11.02]
24. 3. 2011 Florian Kainrath: Arithmetic of Mori domains and monoids: the global case
31. 3. 2011
 
Christiaan van de Woestijne (Montanuniversität Leoben): Factorization in monoids of finite graphs
[15.15 - 16.30, SR 11.32]
31. 3. 2011
 
Ulrich Krause (Universität Bremen): Swarms of birds and positive dynamical systems
[17.00 - 18.00, SR 11.32]
7. 4. 2011 Alfred Geroldinger: Non-commutative Krull rings (1)
14. 4. 2011 Alfred Geroldinger: Non-commutative Krull rings (2)
12. 5. 2011 Alfred Geroldinger: Non-commutative Krull rings (3)
12. 5. 2011
 
Giulio Peruginelli (TU Graz): Good reductions for endomorphisms of the projective line
[17.15 - 18.15, SR 11.32]
19. 5. 2011 Daniel Smertnig: Non-commutative Krull rings (4)   [15.00 - 16.30, SR 11.32]
26. 5. 2011 Florian Kainrath: Non-commutative Krull rings (5)
Di 31.5.2011 Florian Kainrath: Non-commutative Krull rings (6)   [15.30 - 17.00, HS 11.01]
16. 6. 2011
 
 
 
 
 
Pingzhi Yuan (South Cina N. Univ., Guangzhou): Ko Chao's method and its applications to Diophantine equations
Franz Halter-Koch: The Fibonacci sequence and class numbers
Wolfgang A. Schmid (École Polytechnique, Palaiseau Cedex):Towards a more precise understanding of the structure of factorizations of algebraic integers via an associated (inverse) zero-sum problem
[15.00 - 18.00, HS 11.02]


Program of Lectures in WS 2010/11

7. 10. 2010 David Grynkiewicz: Some Recent Developments in Additive Theory (1)
14. 10. 2010 David Grynkiewicz: Some Recent Developments in Additive Theory (2)
20. 10. 2010 David Grynkiewicz: Some Recent Developments in Additive Theory (3)
28. 10. 2010 David Grynkiewicz: Some Recent Developments in Additive Theory (4)
4. 11. 2010 Alfred Geroldinger: A quantitative aspect of non-unique factorizations: the Narkiewicz constants
11. 11. 2010 Martin Widmer (TU Graz): The distribution of integral points in affine space
17. 11. 2010 Daniel Smertnig: Quaternion algebras [11.15 - 12.45, SR 11.33]
18. 11. 2010 Vadim Ponomarenko (San Diego State University): Factorization Theory of Matrices
25. 11. 2010 Christian Elsholtz (TU Graz): Upper and lower bounds in zero sum problems
9. 12. 2010
 
Andreas Philipp: Non-unique factorizations --- A semi-group theoretic approach with an application to non-principal orders in algebraic number fields [15.15 - 16.30, HS 11.02]
9. 12. 2010
 
Paul Baginski (Université Lyon): Tautness: Stretched Between Half-Factoriality and Bounded Factorization
[16.45 - 18.00, HS 11.02]
13.  1. 2011 David Grynkiewicz: Using Arithmetic Progressions to Weight Subsequence Sums
27.  1. 2011
 
P.A. García-Sánchez (Universität Granada): Factorizations in uniquely presented (finitely generated) monoids [17.15 - 18.00, SR 11.34]


Program of Lectures in SS 2010

25. 3. 2010 Andreas Philipp: On the Davenport constant and on the structure of extremal zero-sum sequences
22. 4. 2010 Franz Halter-Koch: Diophantine equations of Pellian type (1)
29. 4. 2010 Franz Halter-Koch: Diophantine equations of Pellian type (2)
20. 5. 2010 Mario Weitzer: Ein Überblick über das Collatz-Problem (1)
27. 5. 2010 Mario Weitzer: Ein Überblick über das Collatz-Problem (2)


Program of Lectures in WS 2009/10

22.10. 2009 Andreas Reinhart: Arithmetic of v-ideal semigroups and their generalizations (1)
29.10. 2009 Andreas Reinhart: Arithmetic of v-ideal semigroups and their generalizations (2)
5.11. 2009 Andreas Reinhart: Arithmetic of v-ideal semigroups and their generalizations (3)
12.11. 2009 Andreas Reinhart: Arithmetic of v-ideal semigroups and their generalizations (4)
26.11. 2009 Andreas Philipp: The computer algebra system MAGMA [16.00 - 17.00, HS 11.02]
26.11. 2009 P. Baginski (Université Lyon): Equivalence relations and factorization [17.00 - 18.00, HS 11.02]
10.12. 2009 Wolfgang Schmid: On Krull monoids with infinite cyclic class group yet almost finite arithmetic
16.12. 2009 Christian Reiher (Universität Rostock): On the structure of minimal zero-sum sequences over groups of rank two (1) [16.00 - 17.30, SR 11.33]
17.12. 2009 Christian Reiher (Universität Rostock): On the structure of minimal zero-sum sequences over groups of rank two (2)
18.12. 2009 Christian Reiher (Universität Rostock): On the structure of minimal zero-sum sequences over groups of rank two (3) [11.15 - 12.45, SR 11.32]
14. 1. 2010 Andreas Philipp: Notes on the catenary and tame degree of possibly infinitely generated monoids
21. 1. 2010 David Grynkiewicz:
28. 1. 2010
 
Christopher Deninger (Universität Münster): Höhenpaarungen und die Hilbert-Polya Idee zur Riemannschen Vermutung [17.15 - 18.00, HS 11.03]
 


Program of Lectures in SS 2009

12. 3. 2009RS Andreas Philipp: Half-factorial orders and min \Delta (OK,f) (1)
19. 3. 2009 RS Andreas Philipp: Half-factorial orders and min \Delta (OK,f) (2)
25. 3. 2009 RS Andreas Philipp: Half-factorial orders and min \Delta (OK,f) (3)
26. 3. 2009 RS Andreas Philipp: Half-factorial orders and min \Delta (OK,f) (4)
7. 5. 2009 RS Franz Halter-Koch: Locally principal ideals
14. 5. 2009 RS Günter Lettl: Square solutions of Pell's equation and Chebyshev polynomials (1)
28. 5. 2009 RS Günter Lettl: Square solutions of Pell's equation and Chebyshev polynomials (2) [15.00 - 16.30, SR 11.32]
3. 6. 2009 RS Alfred Geroldinger: Arithmetic of noetherian domains I [17.00 - 18.30, SR 11.34]
4. 6. 2009 RS Franz Halter-Koch: Arithmetic of noetherian domains II [15.00 - 16.30, SR 11.32]
5. 6. 2009 RS Florian Kainrath: Arithmetic of noetherian domains III [11.15 - 12.45, SR 11.32]
8. 6. 2009 RS Andreas Reinhart: v-ideal semigroup and divisorial lattices [14.00 - 14.30, SR 11.34]
RS Andreas Philipp: Orders in algebraic number fields with half-factorial localizations [14.30 - 15.00, SR 11.34]
8. 6. 2009 RS George Schaeffer: (Univ. Berkeley) Arithmetic of Krull monoids with infinite cyclic class group
[16.00 - 17.00, HS 11.02]
 

Program of Lectures in WS 2008/09

9.10. 2008 SE Andreas Reinhart: Orders over Dedekind domains (1)
23.10. 2008 SE Andreas Reinhart: Orders over Dedekind domains (2)
6.11. 2008 RS Florian Kainrath: Representations of GL2(F): resume of results
20.11. 2008 RS Florian Kainrath: Representations of the Weil group (1)
27.11. 2008 RS Florian Kainrath: Representations of the Weil group (2)
4.12. 2008 SE Wolfgang Schmid: Some results on a generalization of Davenport's constant (1)
11.12. 2008 SE Wolfgang Schmid: Some results on a generalization of Davenport's constant (2)
15. 1. 2009 SE David Grynkiewicz: Graphs in additive combinatorics: large minimal 1-saturating sets (1)
22. 1. 2009 SE David Grynkiewicz: Graphs in additive combinatorics: large minimal 1-saturating sets (2)
29. 1. 2009 SE Oscar Ordaz (Univ. Caracas, Venezuela): On barycentric constants
 

Program of Lectures in SS 2008

6.3. 2008 RS Florian Kainrath: Functional equation of GL1 (1)
12.3. 2008 SE Günter Lettl: Polynomial parametrisierte Teilmengen von ganzen Zahlen
13.3. 2008 RS Florian Kainrath: Functional equation of GL1 (2)
2.4. 2008 SE David Grynkiewicz: Bounds for t-representable sums
3.4. 2008 RS Florian Kainrath: Functional equation of GL1 (3)
10.4. 2008 RS Günter Lettl: Functional equation of GL2 (1)
16.4. 2008 SE David Grynkiewicz: Multidimensional Sumsets (1)
23.4. 2008 SE David Grynkiewicz: Multidimensional Sumsets (2)
24.4. 2008 RS Günter Lettl: Functional equation of GL2 (2)
7.5. 2008 SE Sophie Frisch: Nichteindeutige Faktorisierung in Polynomringen über Restklassenringen der ganzen Zahlen
8.5. 2008 RS Günter Lettl: The functional equation of GL2: non-cuspidal representations (1)
15.5. 2008 RS Günter Lettl: The functional equation of GL2: non-cuspidal representations (1)
28.5. 2008 SE Andreas Philipp: Classification of cuspidal representations (overview)
29.5. 2008 RS Wolfgang Schmid: Generalized block monoids (1)
4.6. 2008 SE Wolfgang Schmid: Generalized block monoids (2)
5.6. 2008 RS Andreas Philipp: The Converse Theorem
11.6. 2008 SE David Grynkiewicz: Weighted Subsequence Sums
18.6. 2008 SE Alfred Geroldinger: On the arithmetic of Krull monoids with finite Davenport constant
 

Program of Lectures in WS 2007/08

4.10. 2007 RS Wolfgang Schmidt: Invariant measures, integrals and Hecke algebra
11.10. 2007 RS Wolfgang Schmidt: Smooth modules and representations
Extra: Wed 17.10. 2007, 18:30 - 19:30, Room HS 11.03
Prof. Dr. Sergei V. Vostokov (St. Petersburg, RU): The classical reciprocity law as an analog of an Abelian integral
24.10. 2007 SE Wolfgang Hassler: Direct sum relations for f.g. modules over commutative local rings (1)
25.10. 2007 RS Wolfgang Hassler: Direct sum relations for f.g. modules over commutative local rings (2)
7.11. 2007 SE Alfred Geroldinger: Unions of sets of lengths (1)
8.11. 2007 RS Alfred Geroldinger: Unions of sets of lengths (2)
15.11. 2007 RS Andreas Reinhart: Linear groups over local fields
21.11. 2007 SE Franz Halter-Koch: Ideal (class) semigroups (1)
22.11. 2007 RS Andreas Reinhart: Representations of the Mirabolilc group
28.11. 2007 SE Franz Halter-Koch: Ideal (class) semigroups (2)
29.11. 2007 RS Florian Kainrath: Representations of GL2(F): Overview of main results (1)
5.12. 2007 SE Wolfgang Schmid: Systems of sets of lengths and characterizations of certain class groups (1)
6.12. 2007 RS Florian Kainrath: Representations of GL2(F): Overview of main results (2)
12.12. 2007 SE Wolfgang Schmid: Systems of sets of lengths and characterizations of certain class groups (2)
9.1. 2008 SE Simone Böttger: Ideal class semigroups of local 1-dimensional domains
10.1. 2008 RS Wolfgang Schmid: Classification of representations in the principal series (1)
17.1. 2008 RS Wolfgang Schmid: Classification of representations in the principal series (2)
 

Program of Lectures in SS 2007

Extra: Wed 28.2. 2007, 15:15 - 16:45, Room SR 11.32
Prof.Dr. Guy Henniart (Paris, F): Modular representations of p-adic reductive groups: the case GL(2).
8.3. 2007 Florian Kainrath: Lokal proendliche Gruppen und lokale Klassenkörpertheorie
15.3. 2007 Florian Kainrath: Deligne-Darstellungen der Weilgruppe lokaler Körper
22.3. 2007 Florian Kainrath: (Halb-)einfache Moduln und Dichtheitssatz von Jacobson
29.3. 2007 Florian Kainrath: Algebren mit approximierender Eins und deren Moduln
19.4. 2007 Wolfgang Schmid: A realization theorem for sets of lengths
Extra: Thu 19.4. 2007, 17:15 - 18:45, Room HS 11.02
Prof.Dr. R. Thangadurai (Allahabad, India): Distribution of residues modulo p
26.4. 2007 Florian Kainrath: Induzierte Moduln, Darstellungen
3.5. 2007 Florian Kainrath: Induzierte Darstellungen, Darstellungen endlicher Gruppen
10.5. 2007 Florian Kainrath: Induzierte Darstellungen der GL2(Fq) (1)
24.5. 2007 Florian Kainrath: Induzierte Darstellungen der GL2(Fq) (2)
31.5. 2007 Simone Böttger: Darstellungen lokal proendlicher Gruppen
14.6. 2007 Simone Böttger: Glatte induzierte Darstellungen lokal proendlicher Gruppen (1)
21.6. 2007 Simone Böttger: Glatte induzierte Darstellungen lokal proendlicher Gruppen (2)
 

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