Support Geoserver deployments in Tomcat 7 / Servlet 3.0

It looks like Geoserver does not work with Tomcat 7.

The Geoserver WAR distribution can be deployed and it also seems to be initialized correctly as it is shown in Tomcat Manager as "Running=true". The geoserver log is also fine, except some unrelated "org.geotools.data.DataSourceException: No reader avalaible for this source" exceptions.

However, accessing http://localhost:8080/geoserver results in an HTTP 500 exception:

javax.servlet.ServletException: Filter execution threw an exception
org.geoserver.platform.AdvancedDispatchFilter.doFilter(AdvancedDispatchFilter.java:48)
org.vfny.geoserver.filters.SetCharacterEncodingFilter.doFilter(SetCharacterEncodingFilter.java:109)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:394)
org.springframework.security.intercept.web.FilterSecurityInterceptor.invoke(FilterSecurityInterceptor.java:109)
org.springframework.security.intercept.web.FilterSecurityInterceptor.doFilter(FilterSecurityInterceptor.java:83)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.ui.ExceptionTranslationFilter.doFilterHttp(ExceptionTranslationFilter.java:101)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.providers.anonymous.AnonymousProcessingFilter.doFilterHttp(AnonymousProcessingFilter.java:105)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.ui.rememberme.RememberMeProcessingFilter.doFilterHttp(RememberMeProcessingFilter.java:109)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.wrapper.SecurityContextHolderAwareRequestFilter.doFilterHttp(SecurityContextHolderAwareRequestFilter.java:91)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.ui.AbstractProcessingFilter.doFilterHttp(AbstractProcessingFilter.java:278)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.ui.logout.LogoutFilter.doFilterHttp(LogoutFilter.java:89)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.context.HttpSessionContextIntegrationFilter.doFilterHttp(HttpSessionContextIntegrationFilter.java:235)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.util.FilterChainProxy.doFilter(FilterChainProxy.java:185)
org.springframework.security.util.FilterToBeanProxy.doFilter(FilterToBeanProxy.java:99)
org.geoserver.filters.LoggingFilter.doFilter(LoggingFilter.java:71)
org.geoserver.filters.ReverseProxyFilter.doFilter(ReverseProxyFilter.java:183)
org.geoserver.filters.GZIPFilter.doFilter(GZIPFilter.java:41)

root cause: java.lang.AbstractMethodError
org.geoserver.platform.AdvancedDispatchFilter.doFilter(AdvancedDispatchFilter.java:48)
org.vfny.geoserver.filters.SetCharacterEncodingFilter.doFilter(SetCharacterEncodingFilter.java:109)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:394)
org.springframework.security.intercept.web.FilterSecurityInterceptor.invoke(FilterSecurityInterceptor.java:109)
org.springframework.security.intercept.web.FilterSecurityInterceptor.doFilter(FilterSecurityInterceptor.java:83)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.ui.ExceptionTranslationFilter.doFilterHttp(ExceptionTranslationFilter.java:101)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.providers.anonymous.AnonymousProcessingFilter.doFilterHttp(AnonymousProcessingFilter.java:105)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.ui.rememberme.RememberMeProcessingFilter.doFilterHttp(RememberMeProcessingFilter.java:109)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.wrapper.SecurityContextHolderAwareRequestFilter.doFilterHttp(SecurityContextHolderAwareRequestFilter.java:91)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.ui.AbstractProcessingFilter.doFilterHttp(AbstractProcessingFilter.java:278)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.ui.logout.LogoutFilter.doFilterHttp(LogoutFilter.java:89)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.context.HttpSessionContextIntegrationFilter.doFilterHttp(HttpSessionContextIntegrationFilter.java:235)
org.springframework.security.ui.SpringSecurityFilter.doFilter(SpringSecurityFilter.java:53)
org.springframework.security.util.FilterChainProxy$VirtualFilterChain.doFilter(FilterChainProxy.java:406)
org.springframework.security.util.FilterChainProxy.doFilter(FilterChainProxy.java:185)
org.springframework.security.util.FilterToBeanProxy.doFilter(FilterToBeanProxy.java:99)
org.geoserver.filters.LoggingFilter.doFilter(LoggingFilter.java:71)
org.geoserver.filters.ReverseProxyFilter.doFilter(ReverseProxyFilter.java:183)
org.geoserver.filters.GZIPFilter.doFilter(GZIPFilter.java:41)

The logs files (catalina.out and geoserver.log) does not show any activity (or errors). I have searched for servlet filter incompability between Servlet 2.X / 3.0 but found nothing. Also, according to the Servlet 3 Javadoc (http://jcp.org/aboutJava/communityprocess/final/jsr315/index.html) the Filter.doFilter() and FilterChain.doFilter() method have not changed.